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Journal articles on the topic 'Hyperbolic type'

Author: Grafiati

Published: 5 June 2025

Last updated: 15 July 2025

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1

Yegin, R., and U. Dursun. "On Submanifolds of Pseudo-Hyperbolic Space with 1-Type Pseudo-Hyperbolic Gauss Map." Zurnal matematiceskoj fiziki, analiza, geometrii 12, no. 4 (2016): 315–37. http://dx.doi.org/10.15407/mag12.04.315.

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2

Porechnaia, Viktoriia I. "Convergence of metaphorization and hyperbolization (semantic space expansion): Tropeic and cognitive aspects." Current Issues in Philology and Pedagogical Linguistics, no. 4 (December 25, 2024): 187–97. https://doi.org/10.29025/2079-6021-2024-4-187-197.

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The aim of this article is to study the metaphorization and hyperbolization processes in a comparative aspect. The material of the study is 14 contexts of the use of metaphors, hyperbolic and hyperbolic metaphors, one of the verbalization elements of which is a lexeme with the spatial meaning “sea”. The study of these tropes with a spatial component is due to the importance of this category in the worldview in general and the linguistic worldview in particular. The material source is the Russian National Corpus. In the course of the research, methods of description, comparison, generalization,

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3

Dursun, Uğur, and Rüya Yeğin. "Hyperbolic submanifolds with finite type hyperbolic Gauss map." International Journal of Mathematics 26, no. 02 (2015): 1550014. http://dx.doi.org/10.1142/s0129167x15500147.

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We study submanifolds of hyperbolic spaces with finite type hyperbolic Gauss map. First, we classify the hyperbolic submanifolds with 1-type hyperbolic Gauss map. Then we prove that a non-totally umbilical hypersurface Mn with nonzero constant mean curvature in a hyperbolic space [Formula: see text] has 2-type hyperbolic Gauss map if and only if M has constant scalar curvature. We also classify surfaces with constant mean curvature in the hyperbolic space [Formula: see text] having 2-type hyperbolic Gauss map. Moreover we show that a horohypersphere in [Formula: see text] has biharmonic hyperb

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4

BALANKIN, A. S., J. BORY-REYES, M. E. LUNA-ELIZARRARÁS, and M. SHAPIRO. "CANTOR-TYPE SETS IN HYPERBOLIC NUMBERS." Fractals 24, no. 04 (2016): 1650051. http://dx.doi.org/10.1142/s0218348x16500511.

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The construction of the ternary Cantor set is generalized into the context of hyperbolic numbers. The partial order structure of hyperbolic numbers is revealed and the notion of hyperbolic interval is defined. This allows us to define a general framework of the fractal geometry on the hyperbolic plane. Three types of the hyperbolic analogues of the real Cantor set are identified. The complementary nature of the real Cantor dust and the real Sierpinski carpet on the hyperbolic plane are outlined. The relevance of these findings in the context of modern physics are briefly discussed.

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5

Tang, Shuan, та Pengcheng Wu. "Composition Operator, Boundedness, Compactness, Hyperbolic Bloch-Type Space βμ∗, Hyperbolic-Type Space". Journal of Function Spaces 2020 (1 серпня 2020): 1–7. http://dx.doi.org/10.1155/2020/5390732.

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In this paper, we obtain some characterizations of composition operators Cφ, which are induced by an analytic self-map φ of the unit disk Δ, from hyperbolic Bloch type space βμ∗ into hyperbolic type space QK,p,q∗.

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6

Zhou, Anjie, Kaixin Yao, and Donghe Pei. "k-type hyperbolic framed slant helices in hyperbolic 3-space." Filomat 38, no. 11 (2024): 3839–50. https://doi.org/10.2298/fil2411839z.

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In this paper, we give the existence and uniqueness theorems for hyperbolic framed curves and define the k-type hyperbolic framed slant helices in three-dimensional hyperbolic space. Using the hyperbolic curvature, we investigate the k-type hyperbolic framed slant helices and the connection between them. Hyperbolic framed slant helices might have singular points, they are a generalization of hyperbolic slant helices. Moreover, as their applications, we give some examples of k-type hyperbolic framed slant helices.

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7

García-Colín, L. S., and M. A. Olivares-Robles. "Hyperbolic type transport equations." Physica A: Statistical Mechanics and its Applications 220, no. 1-2 (1995): 165–72. http://dx.doi.org/10.1016/0378-4371(95)00122-n.

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8

Darkunde, Nitin, and Sanjay Ghodechor. "On Wilker’s and Huygen’s Type Inequalities for Generalized Trigonometric and Hyperbolic Functions." Indian Journal Of Science And Technology 17, no. 9 (2024): 787–93. http://dx.doi.org/10.17485/ijst/v17i9.3206.

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Objectives: The Trigonometric inequalities, generalized trigonometric inequalities which have been obtained by Wilker and Cusa Huygens have attracted attention of so many researchers. Generalized trigonometric functions are simple generalization of the classical trigonometric functions. It is related to the r- Laplacian, which is known as a non-linear differential operator. Method: For the establishment of inequalities involving generalized trigonometric and hyperbolic functions convexity plays the important role in many aspects, also Monotonicity rule is used for sharpness of inequalities. Th

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9

Kurdyka, Krzysztof, and Laurentiu Paunescu. "Nuij Type Pencils of Hyperbolic Polynomials." Canadian Mathematical Bulletin 60, no. 3 (2017): 561–70. http://dx.doi.org/10.4153/cmb-2016-079-1.

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AbstractNuij’s theorem states that if a polynomial p ∈ ℝ[z] is hyperbolic (i.e., has only real roots), then p+sp'' is also hyperbolic for any s ∈ ℝ. We study other perturbations of hyperbolic polynomials of the form pa(z, s) := . We give a full characterization of those a = (a1 , . . . , ad ) ∈ ℝd for which pa(z, s) is a pencil of hyperbolic polynomials. We also give a full characterization of those a = (a1 , . . . , ad ) ∈ ℝd for which the associated families pa(z, s) admit universal determinantal representations. In fact, we show that all these sequences come fromspecial symmetric Toeplitz m

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10

Uçum, Ali, and Kazım İlarslan. "K-type hyperbolic slant helices in H3." Filomat 34, no. 14 (2020): 4873–80. http://dx.doi.org/10.2298/fil2014873u.

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In the present paper, we give the notion of k-type hyperbolic slant helices in H3, where k 2 {0,1,2,3}. We give the necessary and sufficient conditions for hyperbolic curves to be k-type slant helices in terms of their hyperbolic curvature functions.

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11

Tas, Sait. "The hyperbolic-type k-Fibonacci sequences and their applications." Thermal Science 26, Spec. issue 2 (2022): 551–58. http://dx.doi.org/10.2298/tsci22s2551t.

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In this study, we define hyperbolic-type k-Fibonacci numbers and then give the relationships between the k-step Fibonacci numbers and the hyperbolic-type k-Fibonacci numbers. In addition, we study the hyperbolic-type k-Fibonacci sequence modulo m and then we give periods of the Hperbolic-type k-Fibonacci sequences for any k and m which are related the periods of the k-step Fibonacci sequences modulo m. Furthermore, we extend the hyperbolic-type k-Fibonacci sequences to groups. Finally, we obtain the periods of the hyperbolic-type 2-Fibonacci sequences in the dihedral group D2m, (m ? 2) with re

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12

DEMNI, Nizar, and Pierre LAZAG. "The hyperbolic-type point process." Journal of the Mathematical Society of Japan 71, no. 4 (2019): 1137–52. http://dx.doi.org/10.2969/jmsj/79417941.

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13

Borovikova, Marina, Zair Ibragimov, Miguel Jimenez Bravo, and Alexandro Luna. "One-point hyperbolic-type metrics." Involve, a Journal of Mathematics 13, no. 1 (2020): 117–36. http://dx.doi.org/10.2140/involve.2020.13.117.

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14

KADAKAL, HURİYE, and MAHİR KADAKAL. "STRONGLY HYPERBOLIC TYPE CONVEXITY AND SOME NEW INEQUALITIES." Journal of Science and Arts 23, no. 3 (2023): 587–602. http://dx.doi.org/10.46939/j.sci.arts-23.3-a02.

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In this study, we introduce and study the concept of strongly hyperbolic type convexity functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the strongly hyperbolic type convex functions. After that, by using an identity, we get some inequalities for strongly hyperbolic type convex functions. In addition, we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved power-mean integral inequalities.

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15

Wulan, Hasi, and Kehe Zhu. "Lipschitz Type Characterizations for Bergman Spaces." Canadian Mathematical Bulletin 52, no. 4 (2009): 613–26. http://dx.doi.org/10.4153/cmb-2009-060-6.

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AbstractWe obtain new characterizations for Bergman spaces with standard weights in terms of Lipschitz type conditions in the Euclidean, hyperbolic, and pseudo-hyperbolic metrics. As a consequence, we prove optimal embedding theorems when an analytic function on the unit disk is symmetrically lifted to the bidisk.

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16

Zomot, Nasser. "Linear System in general form for Hyperbolic type." JOURNAL OF ADVANCES IN MATHEMATICS 11, no. 8 (2015): 5583–86. http://dx.doi.org/10.24297/jam.v11i8.1212.

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17

Kamiya, Shigeyasu, John R. Parker, and James M. Thompson. "Non-Discrete Complex Hyperbolic Triangle Groups of Type (n, n, ∞; k)." Canadian Mathematical Bulletin 55, no. 2 (2012): 329–38. http://dx.doi.org/10.4153/cmb-2011-094-8.

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AbstractA complex hyperbolic triangle group is a group generated by three involutions fixing complex lines in complex hyperbolic space. Our purpose in this paper is to improve a previous result and to discuss discreteness of complex hyperbolic triangle groups of type (n, n, ∞; k).

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18

Torras, Jean-Pierre. "Mirror-centered representation of a focusing hyperbolic mirror for X-ray beamlines." Journal of Synchrotron Radiation 31, no. 6 (2024): 1464–68. http://dx.doi.org/10.1107/s1600577524009603.

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Conic sections are commonly used in reflective X-ray optics. Hyperbolic mirrors can focus a converging light source and are frequently paired with elliptical or parabolic mirrors in Wolter type configurations. This paper derives the closed-form expression for a mirror-centered hyperbolic shape, with zero-slope at the origin. Combined with the slope and curvature, such an expression facilitates metrology, manufacturing and mirror-bending calculations. Previous works consider ellipses, parabolas, magnifying hyperbolas or employ lengthy approximations. Here, the exact shape function is given in t

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19

Queiroz, Cátia Quilles, Cintya W. Benedito, J. Carmelo Interlando, and Reginaldo Palazzo. "Complete hyperbolic lattices derived from tessellations of type {4g,4g}." Journal of Algebra and Its Applications 15, no. 08 (2016): 1650157. http://dx.doi.org/10.1142/s0219498816501577.

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Regular tessellations of the hyperbolic plane play an important role in the design of signal constellations for digital communication systems. Self-dual tessellations of type [Formula: see text] with [Formula: see text], and [Formula: see text] have been considered where the corresponding arithmetic Fuchsian groups are derived from quaternion orders over quadratic extensions of the rational. The objectives of this work are to establish the maximal orders derived from [Formula: see text] tessellations for which the hyperbolic lattices are complete (the motivation for constructing complete hyper

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20

Barnden, John A. "Metonymy, reflexive hyperbole and broadly reflexive relationships." Review of Cognitive Linguistics 20, no. 1 (2022): 33–69. http://dx.doi.org/10.1075/rcl.00100.bar.

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Abstract I explore some relationships between metonymy and a special type of hyperbole that I call reflexive hyperbole. Reflexive hyperbole provides a unified, simple explanation of certain natural meanings of statements such as the following: Sailing is Mary’s life, The undersea sculptures became the ocean, When Sally watched the film she became James Bond, I am Charlie Hebdo, John is Hitler, The internet is cocaine and I am Amsterdam. The meanings, while of seemingly disparate types, are deeply united: they are all hyperbolic about some contextually salient relationship that has a special pr

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21

Huang, Yi. "A McShane-type identity for closed surfaces." Nagoya Mathematical Journal 219 (September 2015): 65–86. http://dx.doi.org/10.1215/00277630-2887835.

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Abstract.We prove a McShane-type identity: a series, expressed in terms of geodesic lengths, that sums to 2π for any closed hyperbolic surface with one distinguished point. To do so, we prove a generalized Birman-Series theorem showing that the set of complete geodesics on a hyperbolic surface with large cone angles is sparse.

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22

Huang, Yi. "A McShane-type identity for closed surfaces." Nagoya Mathematical Journal 219 (September 2015): 65–86. http://dx.doi.org/10.1017/s0027763000027094.

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Abstract.We prove a McShane-type identity: a series, expressed in terms of geodesic lengths, that sums to 2π for any closed hyperbolic surface with one distinguished point. To do so, we prove a generalized Birman-Series theorem showing that the set of complete geodesics on a hyperbolic surface with large cone angles is sparse.

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23

Ruziev and Yuldasheva. "A PROBLEM OF THE BITSADZE–SAMARSKII TYPE FOR MIXED-TYPE EQUATIONS WITH SINGULAR COEFFICIENTS." UZBEK MATHEMATICAL JOURNAL 68, no. 1 (2024): 121–26. http://dx.doi.org/10.29229/uzmj.2024-1-15.

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A nonlocal problem with generalized fractional differentiation operators whose kernels contain Gaussian hypergeometric functions is studied for an equation of mixed elliptic-hyperbolic type with singular coefficients in an unbounded domain. Applying the method of integral equations, the problem under consideration is equivalently reduced to solving a singular integral equation with the Cauchy kernel. By regularizing it using the Carleman–Vekua method, the solution is found in an explicit form.

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24

Monod, Nicolas. "Notes on functions of hyperbolic type." Bulletin of the Belgian Mathematical Society - Simon Stevin 27, no. 2 (2020): 167–202. http://dx.doi.org/10.36045/bbms/1594346414.

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25

Cherrier, Pascal, and Albert Milani. "Hyperbolic equations of Von Karman type." Discrete & Continuous Dynamical Systems - S 9, no. 1 (2016): 125–37. http://dx.doi.org/10.3934/dcdss.2016.9.125.

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26

Dovgoshey, Oleksiy, Parisa Hariri, and Matti Vuorinen. "Comparison theorems for hyperbolic type metrics." Complex Variables and Elliptic Equations 61, no. 11 (2016): 1464–80. http://dx.doi.org/10.1080/17476933.2016.1182517.

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27

Conder, Marston D. E., Veronika Hucíková, Roman Nedela, and Jozef Širáň. "Chiral maps of given hyperbolic type." Bulletin of the London Mathematical Society 48, no. 1 (2015): 38–52. http://dx.doi.org/10.1112/blms/bdv086.

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28

Xu, Ce, and Jianqiang Zhao. "Reciprocal Hyperbolic Series of Ramanujan Type." Mathematics 12, no. 19 (2024): 2974. http://dx.doi.org/10.3390/math12192974.

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This paper presents an approach to summing a few families of infinite series involving hyperbolic functions, some of which were first studied by Ramanujan. The key idea is based on their contour integral representations and residue computations with the help of some well-known results of Eisenstein series given by Ramanujan, Berndt, et al. As our main results, several series involving hyperbolic functions are evaluated and expressed in terms of z=F12(1/2,1/2;1;x) and z′=dz/dx. When a certain parameter in these series is equal to π, the series are expressed in closed forms in terms of some spec

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29

Kirichenko, V. F., and V. V. Konnov. "Almost Kählerian manifolds of hyperbolic type." Izvestiya: Mathematics 67, no. 4 (2003): 655–94. http://dx.doi.org/10.1070/im2003v067n04abeh000442.

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30

Ida, Yuuki, and Tsuyoshi Kinoshita. "Hyperbolic Symmetrization of Heston Type Diffusion." Asia-Pacific Financial Markets 26, no. 3 (2019): 355–64. http://dx.doi.org/10.1007/s10690-019-09269-1.

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31

Klén, Riku. "Hyperbolic Type Distances in Starlike Domains." Results in Mathematics 72, no. 1-2 (2017): 47–69. http://dx.doi.org/10.1007/s00025-016-0642-8.

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32

Pesin, Y., S. Senti, and K. Zhang. "Thermodynamics of towers of hyperbolic type." Transactions of the American Mathematical Society 368, no. 12 (2016): 8519–52. http://dx.doi.org/10.1090/tran/6599.

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33

Rinchen, Tundup, and Kumar Romesh. "Some product type hyperbolic Young functions." Malaya Journal of Matematik 8, no. 1 (2020): 294–300. http://dx.doi.org/10.26637/mjm0801/0049.

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34

Lyons, Russell. "Hyperbolic space has strong negative type." Illinois Journal of Mathematics 58, no. 4 (2014): 1009–13. http://dx.doi.org/10.1215/ijm/1446819297.

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35

Aksoy, Asuman Güven, Zair Ibragimov, and Wesley Whiting. "Averaging one-point hyperbolic-type metrics." Proceedings of the American Mathematical Society 146, no. 12 (2018): 5205–18. http://dx.doi.org/10.1090/proc/14173.

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36

Wu, Shanhe, and Lokenath Debnath. "Wilker-type inequalities for hyperbolic functions." Applied Mathematics Letters 25, no. 5 (2012): 837–42. http://dx.doi.org/10.1016/j.aml.2011.10.028.

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37

Barreira, Luis, Davor Dragičević, and Claudia Valls. "Lyapunov type characterization of hyperbolic behavior." Journal of Differential Equations 263, no. 5 (2017): 3147–73. http://dx.doi.org/10.1016/j.jde.2017.04.041.

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38

Mahomed, F. M., A. Qadir, and A. Ramnarain. "Laplace-Type Semi-Invariants for a System of Two Linear Hyperbolic Equations by Complex Methods." Mathematical Problems in Engineering 2011 (2011): 1–15. http://dx.doi.org/10.1155/2011/202973.

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In 1773 Laplace obtained two fundamental semi-invariants, called Laplace invariants, for scalar linear hyperbolic partial differential equations (PDEs) in two independent variables. He utilized this in his integration theory for such equations. Recently, Tsaousi and Sophocleous studied semi-invariants for systems of two linear hyperbolic PDEs in two independent variables. Separately, by splitting a complex scalar ordinary differential equation (ODE) into its real and imaginary parts PDEs for two functions of two variables were obtained and their symmetry structure studied. In this work we revi

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39

Chen, Shaolin, and Zhenhua Su. "Radial growth and Hardy-Littlewood-type theorems on hyperbolic harmonic functions." Filomat 29, no. 2 (2015): 361–70. http://dx.doi.org/10.2298/fil1502361c.

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In this paper, we first show that a result of Girela et al. on analytic functions can be extended to hyperbolic-harmonic functions, and then we establish Hardy-Littlewood-type theorems on hyperbolic harmonic functions.

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40

Tirtirau, Loredana. "Hermite-Hadamard type inequalities for hyperbolic type convex functions." International Journal of Mathematical Analysis 14, no. 7 (2020): 315–27. http://dx.doi.org/10.12988/ijma.2020.912116.

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41

Aldashev, C. A., and Z. N. Kanapyanova. "IXED PROBLEM FOR THREE-DIMENSIONAL HYPERBOLIC EQUATIONS WITH DEGENERATION OF TYPE AND ORDER." SERIES PHYSICO-MATHEMATICAL 6, no. 334 (2020): 13–18. http://dx.doi.org/10.32014/2020.2518-1726.92.

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It is known that in space during mathematical modeling of electromagnetic fields in space, the nature of the electromagnetic process is determined by the properties of the medium. If the medium is non-conductive, then we get degenerating multidimensional hyperbolic equations. Therefore, the analysis of electromagnetic fields in complex environments (for example, if the conductivity of the medium changes) is reduced to degenerating multidimensional hyperbolic equations. It is also known that oscillations of elastic membranes in space according to the Hamilton principle can be modeled by degener

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42

Ezin, Jean-Pierre, and Carlos Ogouyandjou. "Volume growth and closed geodesics on Riemannian manifolds of hyperbolic type." International Journal of Mathematics and Mathematical Sciences 2005, no. 6 (2005): 875–93. http://dx.doi.org/10.1155/ijmms.2005.875.

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We study the volume growth function of geodesic spheres in the universal Riemannian covering of a compact manifold of hyperbolic type. Furthermore, we investigate the growth rate of closed geodesics in compact manifolds of hyperbolic type.

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43

Wijaya, Rahmaditya Khadifa Abdul Rozzaq. "THE APPRAISAL SYSTEM OF HYPERBOLIC EXPRESSIONS IN SETIYONO'S 'GLONGGONG' NOVEL TRILOGY." Leksema: Jurnal Bahasa dan Sastra 7, no. 2 (2022): 155–65. http://dx.doi.org/10.22515/ljbs.v7i2.5765.

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This study aimed to find out the appraisal system in the hyperbolic figure of speech. is a qualitative-descriptive study with data in the forms of words, phrases, and clauses indicating hyperbolic figurative language and having appraisal systems. The sources of data were the novel trilogy entitled Glonggong that consists of Glonggong, Arumdalu, and Dasamuka. For collecting the data, focus group discussion and content analysis were applied, whereas for analyzing the data, it used Spradley’s Ethnography Method comprising domain, taxonomy, componential, and cultural theme analysis consecutively.

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44

Nitin, Darkunde, and Ghodechor Sanjay. "On Wilker's and Huygen's Type Inequalities for Generalized Trigonometric and Hyperbolic Functions." Indian Journal of Science and Technology 17, no. 9 (2024): 787–93. https://doi.org/10.17485/IJST/v17i9.3206.

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Abstract <strong>Objectives:</strong> The Trigonometric inequalities, generalized trigonometric inequalities which have been obtained by Wilker and Cusa Huygens have attracted attention of so many researchers. Generalized trigonometric functions are simple generalization of the classical trigonometric functions. It is related to the r- Laplacian, which is known as a non-linear differential operator. <strong>Method:</strong> For the establishment of inequalities involving generalized trigonometric and hyperbolic functions convexity plays the important role in many aspects, also M

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45

Karimov, E. T., and N. A. Rakhmatullaeva. "On a nonlocal problem for mixed parabolic–hyperbolic type equation with nonsmooth line of type changing." Asian-European Journal of Mathematics 07, no. 02 (2014): 1450030. http://dx.doi.org/10.1142/s1793557114500302.

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In this paper, we investigate a boundary problem with nonlocal conditions for mixed parabolic–hyperbolic type equation with three lines of type changing. Considered domain contains a rectangle as a parabolic part and three domains bounded by smooth curves and type-changing lines as a hyperbolic part of the mixed domain. Applying method of energy integrals we prove the uniqueness of the solution for the considered problem. The proof of the existence will be done by reducing the original problem into the system of the second kind Volterra integral equations.

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46

SAHOO, SOUBHAGYA KUMAR, BIBHAKAR KODAMASINGH, and MUHAMMAD AMER LATIF. "Inequalities for Hyperbolic Type Harmonic Preinvex Function." Kragujevac Journal of Mathematics 48, no. 5 (2024): 697–711. http://dx.doi.org/10.46793/kgjmat2405.697s.

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In the present paper, we have introduced a new class of preinvexity namely hyperbolic type harmonic preinvex functions and to support this new deﬁnition, some of its algebraic properties are elaborated. By using this new class of preinvexity, we have established a few Hermite-Hadamard type integral inequalities. Some novel reﬁnements of Hemite-Hadamard type inequalities for hyperbolic type harmonic preinvex functions are presented as well. Finally, the Riemann-Liouville fractional version of the Hermite-Hadamard Inequality is established.

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47

M., Priyanka*1 &. G.Uthra 2. "ROOT STRUCTURE OF SUPER HYPERBOLIC KAC-MOODY ALGEBRAS SH71(3)." GLOBAL JOURNAL OF ENGINEERING SCIENCE AND RESEARCHES 5, no. 8 (2018): 85–89. https://doi.org/10.5281/zenodo.1341138.

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In this Paper, we consider a family of indefinite, non-hyperbolic type called as Super Hyperbolic type. Let  be the Super Hyperbolic Dynkin diagrams of rank 4 obtained from the rank 3 hyperbolic diagrams  of H<sub>71</sub><sup>(3)</sup>. The complete classification of Dynkin diagrams associated with  is obtained here.  There are 219 non-isomorphic connected Dynkin diagrams associated with the family . All the GCM associated with these family are symmetrizable. Properties of roots are also computed

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48

Wu, Nan. "On characteristic of bounded analytic functions involving hyperbolic derivative." Mathematica Slovaca 68, no. 4 (2018): 811–22. http://dx.doi.org/10.1515/ms-2017-0147.

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Abstract In this article, we give the Nevanlinna type hyperbolic characteristics in simply connected domains and angular domains and the Tsuji type hyperbolic characteristics for bounded analytic functions for the first time. The first fundamental theorems are also established concerning hyperbolic derivative for bounded analytic functions in simply connected domains and angular domains. This is a continuous work of Makhmutov [3].

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49

Stroethoff, Karel. "Besov-type characterisations for the Bloch space." Bulletin of the Australian Mathematical Society 39, no. 3 (1989): 405–20. http://dx.doi.org/10.1017/s0004972700003324.

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We will prove local and global Besov-type characterisations for the Bloch space and the little Bloch space. As a special case we obtain that the Bloch space consists of those analytic functions on the unit disc whose restrictions to pseudo-hyperbolic discs (of fixed pseudo-hyperbolic radius) uniformly belong to the Besov space. We also generalise the results to Bloch functions and little Bloch functions on the unit ball in . Finally we discuss the related spaces BMOA and VMOA.

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50

Ege, Inci. "Modified Laplace-type Transform and Its Properties." European Journal of Pure and Applied Mathematics 18, no. 2 (2025): 5986. https://doi.org/10.29020/nybg.ejpam.v18i2.5986.

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Abstract:

In this article, we introduce the Modified Laplace-type transform, develop convergence properties, and obtain fundamental formulas of some elementary functions such as power functions, sine, cosine, hyperbolic sine, hyperbolic cosine, and exponential functions. We derive translation theorems and a scale-preserving theorem and also show the relationship between the modified Laplace type transform and the modified degenerate Gamma function. This integral transform is applied to solve linear ordinary differential equations with constant coefficients and a Volterra integral equation of the second

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