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Journal articles on the topic 'General Heun function'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Momeni, D., Koblandy Yerzhanov, and Ratbay Myrzakulov. "Quantized black hole and Heun function." Canadian Journal of Physics 90, no. 9 (2012): 877–81. http://dx.doi.org/10.1139/p2012-078.

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In this paper, following the simple proposal by He and Ma for quantization of a black hole (BH) using Bohr’s method, we discuss the solvability of the wave equation for such a BH. We consequentially solve the associated Schrödinger equation. The eigenfunction problem reduces to the HeunB, H(α, β, γ, δ; z), differential equation, which is a natural generalization of the hypergeometric differential equation. We investigate some physical properties of the wavefunction. We then obtain the expectation value of the kinetic and the potential energies, using Hellmann–Feynman theorem. Our work introduc

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2

Ishkhanyan, T. A., T. A. Shahverdyan, and A. M. Ishkhanyan. "Expansions of the Solutions of the General Heun Equation Governed by Two-Term Recurrence Relations for Coefficients." Advances in High Energy Physics 2018 (July 4, 2018): 1–9. http://dx.doi.org/10.1155/2018/4263678.

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We examine the expansions of the solutions of the general Heun equation in terms of the Gauss hypergeometric functions. We present several expansions using functions, the forms of which differ from those applied before. In general, the coefficients of the expansions obey three-term recurrence relations. However, there exist certain choices of the parameters for which the recurrence relations become two-term. The coefficients of the expansions are then explicitly expressed in terms of the gamma functions. Discussing the termination of the presented series, we show that the finite-sum solutions

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3

Du, Juan-Juan, Xue-Jing Wang, You-Biao He, Si-Jiang Yang, and Zhong-Heng Li. "Wave equations in conformal gravity." Modern Physics Letters A 33, no. 16 (2018): 1850090. http://dx.doi.org/10.1142/s0217732318500906.

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We study the wave equation governing massless fields of all spins (s = 0, [Formula: see text], 1, [Formula: see text] and 2) in the most general spherical symmetric metric of conformal gravity. The equation is separable, the solution of the angular part is a spin-weighted spherical harmonic, and the radial wave function may be expressed in terms of solutions of the Heun equation which has four regular singular points. We also consider various special cases of the metric and find that the angular wave functions are the same for all cases, the actual shape of the metric functions affects only th

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4

Lévai, Géza. "PT -Symmetric Potentials from the Confluent Heun Equation." Entropy 23, no. 1 (2021): 68. http://dx.doi.org/10.3390/e23010068.

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We derive exactly solvable potentials from the formal solutions of the confluent Heun equation and determine conditions under which the potentials possess PT symmetry. We point out that for the implementation of PT symmetry, the symmetrical canonical form of the Heun equation is more suitable than its non-symmetrical canonical form. The potentials identified in this construction depend on twelve parameters, of which three contribute to scaling and shifting the energy and the coordinate. Five parameters control the z(x) function that detemines the variable transformation taking the Heun equatio

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5

Choun, Yoon Seok. "The analytic solution for the power series expansion of Heun function." Annals of Physics 338 (November 2013): 21–31. http://dx.doi.org/10.1016/j.aop.2013.06.020.

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6

BARAR, ADINA, GABRIELA RALUCA MOCANU, and IOAN RASA. "Bounds for some entropies and special functions." Carpathian Journal of Mathematics 34, no. 1 (2018): 09–15. http://dx.doi.org/10.37193/cjm.2018.01.02.

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We consider a family of probability distributions depending on a real parameter and including the binomial, Poisson and negative binomial distributions. The corresponding index of coincidence satisfies a Heun differential equation and is a logarithmically convex function. Combining these facts we get bounds for the index of coincidence, and consequently for Renyi and Tsallis entropies of order 2.

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7

Ishkhanyan, Artur. "Incomplete beta-function expansions of the solutions to the confluent Heun equation." Journal of Physics A: Mathematical and General 38, no. 28 (2005): L491—L498. http://dx.doi.org/10.1088/0305-4470/38/28/l02.

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8

Ishkhanyan, T. A., V. P. Krainov, and A. M. Ishkhanyan. "Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations." Journal of Physics: Conference Series 1416 (December 2019): 012014. http://dx.doi.org/10.1088/1742-6596/1416/1/012014.

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9

ICHINOSE, Takashi, and Masato WAKAYAMA. "SPECIAL VALUES OF THE SPECTRAL ZETA FUNCTION OF THE NON-COMMUTATIVE HARMONIC OSCILLATOR AND CONFLUENT HEUN EQUATIONS." Kyushu Journal of Mathematics 59, no. 1 (2005): 39–100. http://dx.doi.org/10.2206/kyushujm.59.39.

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10

Schmidt, Heinz-Jürgen. "The Rabi problem with elliptical polarization." Zeitschrift für Naturforschung A 75, no. 11 (2020): 937–62. http://dx.doi.org/10.1515/zna-2020-0181.

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AbstractWe consider the solution of the equation of motion of a classical/quantum spin subject to a monochromatical, elliptically polarized external field. The classical Rabi problem can be reduced to third-order differential equations with polynomial coefficients and hence solved in terms of power series in close analogy to the confluent Heun equation occurring for linear polarization. Application of Floquet theory yields physically interesting quantities like the quasienergy as a function of the problem’s parameters and expressions for the Bloch–Siegert shift of resonance frequencies. Variou

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11

Nga Ongodo, D., J. M. Ema’a Ema’a, P. Ele Abiama, and G. H. Ben-Bolie. "Bohr Hamiltonian with a four inverse power terms potential and extended Nikiforov–Uvarov method for triaxial nuclei." International Journal of Modern Physics E 28, no. 12 (2019): 1950106. http://dx.doi.org/10.1142/s0218301319501064.

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The Bohr Hamiltonian with four inverse power terms potential for the [Formula: see text]-part and a harmonic oscillator for the [Formula: see text]-part is solved. The [Formula: see text]-part has been solved using the biconfluent Heun equation. The total wave function and energy have been derived. The numerical results for energy triaxial nuclei spectra are compared with the experimental data, esM and esKM models known for [Formula: see text] atomic nuclei. These results are in overall good agreement with the experimental data. After this, the corresponding [Formula: see text] transition rate

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12

Ishkhanyan, A. M., and A. E. Grigoryan. "Fifteen classes of solutions of the quantum two-state problem in terms of the confluent Heun function." Journal of Physics A: Mathematical and Theoretical 47, no. 46 (2014): 465205. http://dx.doi.org/10.1088/1751-8113/47/46/465205.

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13

Ishkhanyan, A. M. "Schrödinger potentials solvable in terms of the general Heun functions." Annals of Physics 388 (January 2018): 456–71. http://dx.doi.org/10.1016/j.aop.2017.11.033.

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14

Hortaçsu, M. "Heun Functions and Some of Their Applications in Physics." Advances in High Energy Physics 2018 (July 19, 2018): 1–14. http://dx.doi.org/10.1155/2018/8621573.

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Most of the theoretical physics known today is described by using a small number of differential equations. For linear systems, different forms of the hypergeometric or the confluent hypergeometric equations often suffice to describe the system studied. These equations have power series solutions with simple relations between consecutive coefficients and/or can be represented in terms of simple integral transforms. If the problem is nonlinear, one often uses one form of the Painlevé equations. There are important examples, however, where one has to use higher order equations. Heun equation is

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15

Abdelaziz, Y., S. Boukraa, C. Koutschan, and J.-M. Maillard. "Heun functions and diagonals of rational functions." Journal of Physics A: Mathematical and Theoretical 53, no. 7 (2020): 075206. http://dx.doi.org/10.1088/1751-8121/ab67e5.

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16

Dariescu, Ciprian, Marina-Aura Dariescu, and Cristian Stelea. "Dirac Equation on the Kerr–Newman Spacetime and Heun Functions." Advances in High Energy Physics 2021 (April 14, 2021): 1–10. http://dx.doi.org/10.1155/2021/5512735.

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By employing a pseudoorthonormal coordinate-free approach, the Dirac equation for particles in the Kerr–Newman spacetime is separated into its radial and angular parts. In the massless case to which a special attention is given, the general Heun-type equations turn into their confluent form. We show how one recovers some results previously obtained in literature, by other means.

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17

Dariescu, Marina-Aura, Ciprian Dariescu, and Cristian Stelea. "Massless fermions on static general prolate metrics and their Heun solutions." Modern Physics Letters A 35, no. 07 (2019): 2050036. http://dx.doi.org/10.1142/s0217732320500364.

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Employing a pseudo-orthonormal coordinate-free approach, we write down the Dirac equation in spacetimes with static general prolate metrics. As examples, we consider the electrically charged C-metric, the vacuum C-metric, the Reissner–Nordström and Schwarzschild spacetimes and the BBMB black hole and show that the solutions to the Dirac equations for particles in these spacetimes can be derived in terms of Heun’s general functions and their confluent and double confluent forms. By imposing boundary conditions to the radial solutions, the so-called resonant frequencies are obtained.

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18

Barna, Imre F., Gabriella Bognár, Mohammed Guedda, László Mátyás, and Krisztián Hriczó. "ANALYTIC SELF-SIMILAR SOLUTIONS OF THE KARDAR-PARISI-ZHANG INTERFACE GROWING EQUATION WITH VARIOUS NOISE TERMS." Mathematical Modelling and Analysis 25, no. 2 (2020): 241–56. http://dx.doi.org/10.3846/mma.2020.10459.

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The one-dimensional Kardar-Parisi-Zhang dynamic interface growth equation with the self-similar ansatz is analyzed. As a new feature additional analytic terms are added. From the mathematical point of view, these can be considered as various noise distribution functions. Six different cases were investigated among others Gaussian, Lorentzian, white or even pink noise. Analytic solutions are evaluated and analyzed for all cases. All results are expressible with various special functions like Kummer, Heun, Whittaker or error functions showing a very rich mathematical structure with some common g

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19

Chen, Bei-Hua, Yan Wu, and Qiong-Tao Xie. "Heun functions and quasi-exactly solvable double-well potentials." Journal of Physics A: Mathematical and Theoretical 46, no. 3 (2012): 035301. http://dx.doi.org/10.1088/1751-8113/46/3/035301.

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20

Ishkhanyan, T. A., and A. M. Ishkhanyan. "The Third Five-Parametric Hypergeometric Quantum-Mechanical Potential." Advances in High Energy Physics 2018 (October 17, 2018): 1–8. http://dx.doi.org/10.1155/2018/2769597.

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We introduce the third five-parametric ordinary hypergeometric energy-independent quantum-mechanical potential, after the Eckart and Pöschl-Teller potentials, which is proportional to an arbitrary variable parameter and has a shape that is independent of that parameter. Depending on an involved parameter, the potential presents either a short-range singular well (which behaves as inverse square root at the origin and vanishes exponentially at infinity) or a smooth asymmetric step-barrier (with variable height and steepness). The general solution of the Schrödinger equation for this potential,

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21

Grisley, William, and Kangethe W. Gitu. "A Translog Cost Analysis of Turkey Production in the Mid-Atlantic Region." Journal of Agricultural and Applied Economics 17, no. 1 (1985): 151–58. http://dx.doi.org/10.1017/s0081305200017167.

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AbstractThe production structure of 165-hen and 200-tom turkey flocks is investigated using a translog (dual) variable cost function. The partial static equilibrium elasticities of scale, input demand, input substitution, and cross price elasticities of demand are calculated. The elasticity of scale is found to be not significantly different from one over the range of 5,900 to 9,822 birds for the hen flocks and over the range of 7,765 to 11,043 birds for the torn flocks. In general, the input demand elasticities are inelastic with the exception of the input fuel. The cross-price elasticities a

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22

Ishkhanyan, Tigran A., Vladimir P. Krainov, and Artur M. Ishkhanyan. "A Conditionally Integrable Bi-confluent Heun Potential Involving Inverse Square Root and Centrifugal Barrier Terms." Zeitschrift für Naturforschung A 73, no. 5 (2018): 407–14. http://dx.doi.org/10.1515/zna-2017-0314.

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AbstractWe present a conditionally integrable potential, belonging to the bi-confluent Heun class, for which the Schrödinger equation is solved in terms of the confluent hypergeometric functions. The potential involves an attractive inverse square root term ~x−1/2 with arbitrary strength and a repulsive centrifugal barrier core ~x−2 with the strength fixed to a constant. This is a potential well defined on the half-axis. Each of the fundamental solutions composing the general solution of the Schrödinger equation is written as an irreducible linear combination, with non-constant coefficients, o

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23

Marina-Aura, Dariescu, and Dariescu Ciprian. "Heun Functions Describing Fermions Evolving in Parallel Electric and Magnetic Fields." Chinese Physics Letters 32, no. 7 (2015): 071101. http://dx.doi.org/10.1088/0256-307x/32/7/071101.

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24

Ishkhanyan, A. M. "SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS." Journal of Applied Analysis & Computation 9, no. 1 (2019): 118–39. http://dx.doi.org/10.11948/2019.118.

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25

Dong, Shishan, G. Yáñez-Navarro, M. A. Mercado Sanchez, C. Mejía-García, Guo-Hua Sun, and Shi-Hai Dong. "Constructions of the Soluble Potentials for the Nonrelativistic Quantum System by Means of the Heun Functions." Advances in High Energy Physics 2018 (June 3, 2018): 1–8. http://dx.doi.org/10.1155/2018/9824538.

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The Schrödinger equation ψ′′(x)+κ2ψ(x)=0 where κ2=k2-V(x) is rewritten as a more popular form of a second order differential equation by taking a similarity transformation ψ(z)=ϕ(z)u(z) with z=z(x). The Schrödinger invariant IS(x) can be calculated directly by the Schwarzian derivative z,x and the invariant I(z) of the differential equation uzz+f(z)uz+g(z)u=0. We find an important relation for a moving particle as ∇2=-IS(x) and thus explain the reason why the Schrödinger invariant IS(x) keeps constant. As an illustration, we take the typical Heun’s differential equation as an object to constru

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26

Ishkhanyan, Artur, and Kalle-Antti Suominen. "Solutions of the two-level problem in terms of biconfluent Heun functions." Journal of Physics A: Mathematical and General 34, no. 32 (2001): 6301–6. http://dx.doi.org/10.1088/0305-4470/34/32/309.

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27

Ishkhanyan, T. A., and A. M. Ishkhanyan. "Solutions of the bi-confluent Heun equation in terms of the Hermite functions." Annals of Physics 383 (August 2017): 79–91. http://dx.doi.org/10.1016/j.aop.2017.04.015.

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28

Birkandan, T., and M. Horta. "Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces." EAS Publications Series 30 (2008): 265–68. http://dx.doi.org/10.1051/eas:0830041.

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29

Buchstaber, V. M., and A. A. Glutsyuk. "On determinants of modified Bessel functions and entire solutions of double confluent Heun equations." Nonlinearity 29, no. 12 (2016): 3857–70. http://dx.doi.org/10.1088/0951-7715/29/12/3857.

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30

Birkandan, T., and M. Hortaçsu. "Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces." Journal of Physics A: Mathematical and Theoretical 40, no. 5 (2007): 1105–16. http://dx.doi.org/10.1088/1751-8113/40/5/016.

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31

Birkandan, T., and M. Hortaçsu. "Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces." Journal of Physics A: Mathematical and Theoretical 40, no. 36 (2007): 11203. http://dx.doi.org/10.1088/1751-8121/40/36/c01.

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32

Dong, Qian, H. Iván García Hernández, Guo-Hua Sun, Mohamad Toutounji, and Shi-Hai Dong. "Exact solutions of the harmonic oscillator plus non-polynomial interaction." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2241 (2020): 20200050. http://dx.doi.org/10.1098/rspa.2020.0050.

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The exact solutions to a one-dimensional harmonic oscillator plus a non-polynomial interaction a x 2 + b x 2 /(1 + c x 2 ) ( a > 0, c > 0) are given by the confluent Heun functions H c ( α , β , γ , δ , η ; z ). The minimum value of the potential well is calculated as V min ( x ) = − ( a + | b | − 2 a | b | ) / c at x = ± [ ( | b | / a − 1 ) / c ] 1 / 2 (| b | > a ) for the double-well case ( b < 0). We illustrate the wave functions through varying the potential parameters a , b , c and show that they are pulled back to the origin when the potential parameter b increases for given

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33

Ishkhanyan, T. A., Y. Pashayan-Leroy, M. R. Gevorgyan, C. Leroy, and A. M. Ishkhanyan. "Expansions of the solutions of the biconfluent Heun equation in terms of incomplete Beta and Gamma functions." Journal of Contemporary Physics (Armenian Academy of Sciences) 51, no. 3 (2016): 229–36. http://dx.doi.org/10.3103/s106833721603004x.

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34

Vieira, H. S., and V. B. Bezerra. "Confluent Heun functions and the physics of black holes: Resonant frequencies, Hawking radiation and scattering of scalar waves." Annals of Physics 373 (October 2016): 28–42. http://dx.doi.org/10.1016/j.aop.2016.06.016.

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35

Madlala, Hlengiwe P., Landon Myer, Thokozile R. Malaba, and Marie-Louise Newell. "Neurodevelopment of HIV-exposed uninfected children in Cape Town, South Africa." PLOS ONE 15, no. 11 (2020): e0242244. http://dx.doi.org/10.1371/journal.pone.0242244.

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Background Evidence shows that antiretroviral (ART) exposure is associated with neurodevelopmental delays in human immunodeficiency virus (HIV)-exposed uninfected (HEU) children. However, there are few insights into modifiable maternal and child factors that may play a role in improving neurodevelopment in HEU children. We used a parent-centric neurodevelopment tool, Ages & Stages Questionnaire (ASQ) to examined neurodevelopment in HEU children at 12–24 months of age, and associations with maternal and child factors. Methods 505 HIV-infected women (initiated ART pre- or during pregnancy) w

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36

Zhang, Xio Ling, Hong Chao Yin, and Zhao Yi Huo. "Flexible Synthesis of Heat Exchanger Network with Particle Swarm Optimization Algorithm." Advanced Materials Research 214 (February 2011): 569–72. http://dx.doi.org/10.4028/www.scientific.net/amr.214.569.

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In this paper, the flexible synthesis problem for heat exchanger network(HEN) is formulated to a mixed integer nonlinear program(MINLP) model. The objection function of the model consists of two components: First, a candidate HEN structure has to satisfy flexible criterion during input span. Second, a minimized annual cost consisting of investment cost and operating cost is investigated. The solution strategy based on particle swarm optimization(PSO) algorithm is proposed to obtain the optimal solution of the presented model. Finally, a four streams example is investigated to show the advantag

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37

Zhao, Liang, Zhao Yi Huo, Lin Mu, and Hong Chao Yin. "Cost-Optimal Operation of Heat Exchanger Network Considering Pressure Drop Constraints." Advanced Materials Research 634-638 (January 2013): 3898–902. http://dx.doi.org/10.4028/www.scientific.net/amr.634-638.3898.

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Considerable research effort has been reported in cost-optimal operation of heat exchanger network. However, most of them neglect the pressure drop influence and assume constant film heat transfer coefficients. Pressure drop of streams are important influencing factors for the performance of heat exchanger network operation. In this paper, a general cost-optimal operation model considering pressure drop constraints and removing the assumption of constant film heat transfer coefficients is proposed. It is necessary to determine the pumping power cost required as part of operating cost function.

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38

Ćurić, Željka Breškić, Ana Marija Masle, Aleksandar Kibel, et al. "Effects of n-3 Polyunsaturated Fatty Acid-Enriched Hen Egg Consumption on the Inflammatory Biomarkers and Microvascular Function in Patients with Acute and Chronic Coronary Syndrome—A Randomized Study." Biology 10, no. 8 (2021): 774. http://dx.doi.org/10.3390/biology10080774.

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This study aimed to test the effect of n-3 polyunsaturated fatty acid (PUFA)-enriched hen egg consumption on serum lipid and free fatty acid profiles, inflammatory and oxidative stress biomarkers, and microvascular reactivity in patients with coronary artery disease (CAD). Forty CAD patients participated in this study. Of those, 20 patients had acute CAD (Ac-CAD), and 20 patients had chronic CAD (Ch-CAD). The control group (N = 20) consumed three regular hen eggs/daily (249 mg n-3 PUFAs/day), and the n-3 PUFAs group (N = 20) consumed three n-3 PUFA-enriched hen eggs/daily (1053 g n-3 PUFAs/day

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39

Lee, Ya Wei. "Dynamic Modeling and Identification of an Electric-Hydraulic Controlled Fuel Injection System." Advanced Materials Research 918 (April 2014): 206–11. http://dx.doi.org/10.4028/www.scientific.net/amr.918.206.

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Fuel consumption, related to engine operation and performance, has always been emphasized in the modern design of heavy vehicles. For identifying the operational mechanism of a novel hydraulically actuated electronic unit injection (HEUI) system from the viewpoint of energy conversion, this study presents the estimation of a nonlinear autoregressive moving average with exogenous inputs (NARMAX) models. By this modeling approach, the correlation between injection pressure and fuel rate under normal operations is detected. When mapping the NARMAX models into the frequency domain, the frequency r

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40

Olson, J. B., N. E. Ward, and E. A. Koutsos. "Lycopene Incorporation into Egg Yolk and Effects on Laying Hen Immune Function." Poultry Science 87, no. 12 (2008): 2573–80. http://dx.doi.org/10.3382/ps.2008-00072.

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41

HESTER, PATRICIA Y., W. M. MUIR, J. V. CRAIG, and J. L. ALBRIGHT. "Group Selection for Adaptation to Multiple-Hen Cages: Hematology and Adrenal Function ,." Poultry Science 75, no. 11 (1996): 1295–307. http://dx.doi.org/10.3382/ps.0751295.

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42

Del Favero, Giorgia, Lukas Janker, Benjamin Neuditschko, et al. "Exploring the dermotoxicity of the mycotoxin deoxynivalenol: combined morphologic and proteomic profiling of human epidermal cells reveals alteration of lipid biosynthesis machinery and membrane structural integrity relevant for skin barrier function." Archives of Toxicology 95, no. 6 (2021): 2201–21. http://dx.doi.org/10.1007/s00204-021-03042-y.

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AbstractDeoxynivalenol (vomitoxin, DON) is a secondary metabolite produced by Fusarium spp. fungi and it is one of the most prevalent mycotoxins worldwide. Crop infestation results not only in food and feed contamination, but also in direct dermal exposure, especially during harvest and food processing. To investigate the potential dermotoxicity of DON, epidermoid squamous cell carcinoma cells A431 were compared to primary human neonatal keratinocytes (HEKn) cells via proteome/phosphoproteome profiling. In A431 cells, 10 µM DON significantly down-regulated ribosomal proteins, as well as mitoch

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43

Ludu, A. "Vortex Structures inside Spherical Mesoscopic Superconductor Plus Magnetic Dipole." Advances in Mathematical Physics 2018 (November 1, 2018): 1–19. http://dx.doi.org/10.1155/2018/8652151.

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We investigate the existence of multivortex states in a superconducting mesoscopic sphere with a magnetic dipole placed at the center. We obtain analytic solutions for the order parameter Ψ(r→) inside the sphere through the linearized Ginzburg-Landau (GL) model, coupled with mixed boundary conditions, and under regularity conditions and decoupling coordinates approximation. The solutions of the linear GL equation are obtained in terms of Heun double confluent functions, in dipole coordinates symmetry. The analyticity of the solutions and the associated eigenproblem are discussed thoroughly. We

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44

Chiang, Yik-Man, and Guo-Fu Yu. "Galoisian approach to complex oscillation theory of some Hill equations." MATHEMATICA SCANDINAVICA 124, no. 1 (2019): 102–31. http://dx.doi.org/10.7146/math.scand.a-110889.

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We apply Kovacic's algorithm from differential Galois theory to show that all complex non-oscillatory solutions (finite exponent of convergence of zeros) of certain Hill equations considered by Bank and Laine using Nevanlinna theory must be Liouvillian solutions. These are solutions obtainable by suitable differential field extension constructions. In particular, we establish a full correspondence between solutions of non-oscillatory type and Liouvillian solutions for a particular Hill equation. Explicit closed-form solutions are obtained via both methods for this Hill equation whose potential

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45

Raab, Juraj, Andrej Antušek, Stanislav Biskupič, and Miroslav Urban. "A Coupled Cluster Study of van der Waals Interactions of the He Atom with CN, NO and O2 Radicals." Collection of Czechoslovak Chemical Communications 69, no. 1 (2004): 189–212. http://dx.doi.org/10.1135/cccc20040189.

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The partially spin-adapted coupled cluster method with the restricted open-shell Hartree- Fock reference was applied to calculations of interaction energies between the helium atom and the three radicals, CN (2Σ), NO (2Π), and O2 (3Sg-). Basis set dependences with medium-augmented correlation consistent basis sets were alleviated by using extrapolations to the basis set limit which were based on aug-cc-pVTZ and aug-cc-pVQZ results. The two-dimensional potential energy surfaces were fitted by exponential and polynomial functions. Minima and transition states were located. Potential energy surfa

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46

Ralko, A., and T. T. Truong. "Heun functions and the energy spectrum of a charged particle on a sphere under a magnetic field and Coulomb force." Journal of Physics A: Mathematical and General 35, no. 45 (2002): 9573–83. http://dx.doi.org/10.1088/0305-4470/35/45/306.

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Stupin, Ana, Martina Mihalj, Nikolina Kolobarić, et al. "Anti-Inflammatory Potential of n-3 Polyunsaturated Fatty Acids Enriched Hen Eggs Consumption in Improving Microvascular Endothelial Function of Healthy Individuals—Clinical Trial." International Journal of Molecular Sciences 21, no. 11 (2020): 4149. http://dx.doi.org/10.3390/ijms21114149.

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The effects of consumption of n-3 polyunsaturated fatty acids (n-3 PUFAs) enriched hen eggs on endothelium-dependent and endothelium-independent vasodilation in microcirculation, and on endothelial activation and inflammation were determined in young healthy individuals. Control group (N = 21) ate three regular hen eggs/daily (249 mg n-3 PUFAs/day), and n-3 PUFAs group (N = 19) ate three n-3 PUFAs enriched hen eggs/daily (1053 g n-3 PUFAs/day) for 3 weeks. Skin microvascular blood flow in response to iontophoresis of acetylcholine (AChID; endothelium-dependent) and sodium nitroprusside (SNPID;

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Zhang, Cong, and Rui Yuan. "Toward a Quantitative Approach to the Specialness of Poetry: Taking Chang Hen Ge and Chang Hen Ge Zhuan as a Case Study." SAGE Open 11, no. 3 (2021): 215824402110299. http://dx.doi.org/10.1177/21582440211029944.

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The differences of linguistic features between Chang Hen Ge ( Ge) and Chang Hen Ge Zhuan ( Zhuan) have rarely been mentioned in the relevant fields. Nevertheless, these differences can best highlight the specialness of poetry, for the two works were written contemporaneously by two friends on the same subject, in distinct styles. This article employs quantitative methods and indicators to provide empirical evidence for the specialness of Ge through comparisons between the two. The results show that, on the premise of expressing the same subject in different styles, Ge does have certain linguis

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Kawaguchi, Yuya, Kazunari Yoneda, Takao Torikata, and Tomohiro Araki. "Asp48 function in the hydrogen-bonding network involving Asp52 of hen egg-white lysozyme." Bioscience, Biotechnology, and Biochemistry 79, no. 2 (2014): 196–204. http://dx.doi.org/10.1080/09168451.2014.963502.

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Strzeżek, R., M. Koziorowska-Gilun, and M. Stawiszyńska. "Cryopreservation of canine semen: the effect of two extender variants on the quality and antioxidant properties of spermatozoa." Polish Journal of Veterinary Sciences 15, no. 4 (2012): 721–26. http://dx.doi.org/10.2478/v10181-012-0109-0.

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Abstract The aim of this study was to determine the effect of two variants of Tris-citric acid-fructose (TCF) extender containing whole hen egg yolk (TCF-HEY) and lyophilized lipoprotein fractions extracted from ostrich egg yolk (TCF-LPFo) on selected biological properties of cryopreserved sperm cells. Post-thaw percentage of motile sperm (MOT) was significantly higher (P<0.05) for TCF-HEY extender (66.3 ± 3.2%) than for TCF-LPFo extender (52.4 ± 3.4%). Moreover, there was no significant difference in the percentage of sperm with progressive motility (PMOT). Both diluents effectively preser

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