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Journal articles on the topic 'Mellin de'

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Published: 4 June 2021

Last updated: 10 February 2022

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1

Butzer, P. L., and S. Jansche. "Mellin-Fourier series and the classical Mellin transform." Computers & Mathematics with Applications 40, no. 1 (2000): 49–62. http://dx.doi.org/10.1016/s0898-1221(00)00139-5.

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2

Čučković, Željko. "Berezin versus Mellin." Journal of Mathematical Analysis and Applications 287, no. 1 (2003): 234–43. http://dx.doi.org/10.1016/s0022-247x(03)00546-8.

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3

Hoyles, Celia, and Marilyn Nickson. "Stieg Mellin-Olsen." Educational Studies in Mathematics 28, no. 4 (1995): 335–36. http://dx.doi.org/10.1007/bf01274077.

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4

Mirjalili, A., M. M. Yazdanpanah, and Z. Moradi. "Extracting the QCD Cutoff Parameter Using the Bernstein Polynomials and the Truncated Moments." Advances in High Energy Physics 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/304369.

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Since there are not experimental data over the whole range ofx-Bjorken variable, that is,0<x<1, we are inevitable in practice to do the integration for Mellin moments over the available range of experimental data. Among the methods of analysing DIS data, there are the methods based on application of Mellin moments. We use the truncated Mellin moments rather than the usual moments to analyse the EMC collaboration data for muon-nucleon and WA25 data for neutrino-deuterium DIS scattering. How to connect the truncated Mellin moments to usual ones is discussed. Following that we combine the t

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5

YANG, JIANWEI, LIANG ZHANG, and ZHENGDA LU. "THE MELLIN CENTRAL PROJECTION TRANSFORM." ANZIAM Journal 58, no. 3-4 (2017): 256–64. http://dx.doi.org/10.1017/s1446181116000341.

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The central projection transform can be employed to extract invariant features by combining contour-based and region-based methods. However, the central projection transform only considers the accumulation of the pixels along the radial direction. Consequently, information along the radial direction is inevitably lost. In this paper, we propose the Mellin central projection transform to extract affine invariant features. The radial factor introduced by the Mellin transform, makes up for the loss of information along the radial direction by the central projection transform. The Mellin central p

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6

Klusch, Dieter. "On Mellin-Ramanujan expansions." Acta Arithmetica 52, no. 3 (1989): 283–92. http://dx.doi.org/10.4064/aa-52-3-283-292.

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7

Chen, Heng-Yu, En-Jui Kuo, and Hideki Kyono. "Towards spinning Mellin amplitudes." Nuclear Physics B 931 (June 2018): 291–323. http://dx.doi.org/10.1016/j.nuclphysb.2018.04.019.

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8

Monakov, Andrei. "The Mellin Matched Filter." IEEE Journal of Selected Topics in Signal Processing 9, no. 8 (2015): 1451–59. http://dx.doi.org/10.1109/jstsp.2015.2465309.

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9

Twamley, J., and G. J. Milburn. "The quantum Mellin transform." New Journal of Physics 8, no. 12 (2006): 328. http://dx.doi.org/10.1088/1367-2630/8/12/328.

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10

Staunton, Mike. "Crossing the Mellin Road." Wilmott 2011, no. 56 (2011): 62–63. http://dx.doi.org/10.1002/wilm.10055.

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11

Flajolet, Philippe, and Mordecai Golin. "Mellin transforms and asymptotics." Acta Informatica 31, no. 7 (1994): 673–96. http://dx.doi.org/10.1007/bf01177551.

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12

Ji, Xiao Qiang, Jie Zhang Cheng, Lei Jiang, Ting Ting Zhang, and Mei Jiao Wang. "An Improved Fourier-Mellin Algorithm Based on the Image Amplitude Spectrum." Applied Mechanics and Materials 687-691 (November 2014): 3773–76. http://dx.doi.org/10.4028/www.scientific.net/amm.687-691.3773.

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This paper proposes an improved amplitude spectrum based Fourier-Mellin algorithm Fourier by studying the nature of the Fourier transform image of the amplitude spectrum and the application of phase spectrum in estimation for image motion vector according to the shortcomings of traditional Fourier-Mellin algorithm when the video image translation, rotation and scaling of the situation exist. Experimental results show that the algorithm can estimate the rotation, translation and other vector parameters of a complicated motion model .The complexity of the algorithm has greatly improved comparing

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13

Bardaro, Carlo, Paul L. Butzer, Ilaria Mantellini, and Gerhard Schmeisser. "Integration of polar-analytic functions and applications to Boas’ differentiation formula and Bernstein’s inequality in Mellin setting." Bollettino dell'Unione Matematica Italiana 13, no. 4 (2020): 503–14. http://dx.doi.org/10.1007/s40574-020-00226-9.

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Abstract We establish a general version of Cauchy’s integral formula and a residue theorem for polar-analytic functions, employing the new notion of logarithmic poles. As an application, a Boas-type differentiation formula in Mellin setting and a Bernstein-type inequality for polar Mellin derivatives are deduced.

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14

Lamb, George, and O. P. Lossers. "Integral by Mellin Transform: 11067." American Mathematical Monthly 112, no. 9 (2005): 843. http://dx.doi.org/10.2307/30037618.

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15

Friedberg, Solomon, and Dorian Goldfeld. "Mellin transforms of Whittaker functions." Bulletin de la Société mathématique de France 121, no. 1 (1993): 91–107. http://dx.doi.org/10.24033/bsmf.2201.

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16

Deitmar, Anton. "Mellin Transforms of Whittaker Functions." Canadian Mathematical Bulletin 45, no. 3 (2002): 364–77. http://dx.doi.org/10.4153/cmb-2002-039-5.

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AbstractIn this note we show that for an arbitrary reductive Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We locate the possible poles and show that they always lie along translates of walls of Weyl chambers.

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17

Blümlein, Johannes. "Harmonic sums and mellin transforms." Nuclear Physics B - Proceedings Supplements 79, no. 1-3 (1999): 166–68. http://dx.doi.org/10.1016/s0920-5632(99)00664-7.

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18

Panini, R., and R. P. Srivastav. "Option pricing with Mellin transnforms." Mathematical and Computer Modelling 40, no. 1-2 (2004): 43–56. http://dx.doi.org/10.1016/j.mcm.2004.07.008.

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19

Venkataramanan, Lalitha, Fred K. Gruber, Tarek M. Habashy, and Denise E. Freed. "Mellin transform of CPMG data." Journal of Magnetic Resonance 206, no. 1 (2010): 20–31. http://dx.doi.org/10.1016/j.jmr.2010.05.015.

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20

Yang, Jianwei, Liang Zhang, and Zhengda Lu. "The Mellin central projection transform." ANZIAM Journal 58 (July 20, 2017): 256. http://dx.doi.org/10.21914/anziamj.v58i0.10980.

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21

Yonggong Peng, Yixian Wang, Xiangwu Zuo, and Lihua Gong. "Properties of Fractional Mellin Transform." INTERNATIONAL JOURNAL ON Advances in Information Sciences and Service Sciences 5, no. 5 (2013): 90–96. http://dx.doi.org/10.4156/aiss.vol5.issue5.11.

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22

Antipova, I. A., and T. V. Zykova. "Mellin transforms and algebraic functions." Integral Transforms and Special Functions 26, no. 10 (2015): 753–67. http://dx.doi.org/10.1080/10652469.2015.1050390.

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23

Antipova, I. A. "Inversion of multidimensional Mellin transforms." Russian Mathematical Surveys 62, no. 5 (2007): 977–79. http://dx.doi.org/10.1070/rm2007v062n05abeh004459.

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24

Schipp, F., and W. R. Wade. "Mellin Transforms on Binary Fields." Applied and Computational Harmonic Analysis 9, no. 1 (2000): 54–71. http://dx.doi.org/10.1006/acha.2000.0308.

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25

Birmingham, D., and S. Sen. "A Mellin transform summation technique." Journal of Physics A: Mathematical and General 20, no. 13 (1987): 4557–60. http://dx.doi.org/10.1088/0305-4470/20/13/054.

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26

Rogov, V. B. K. "The mellin-whittaker integral transform." Mathematical Notes of the Academy of Sciences of the USSR 39, no. 6 (1986): 434–37. http://dx.doi.org/10.1007/bf01157027.

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27

Bessis, D., G. Servizi, G. Turchetti, and S. Vaienti. "Mellin transforms and correlation dimensions." Physics Letters A 119, no. 7 (1987): 345–47. http://dx.doi.org/10.1016/0375-9601(87)90611-6.

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28

Ninham, Barry W., Barry D. Hughes, Norman E. Frankel, and M. Lawrence Glasser. "Möbius, Mellin, and mathematical physics." Physica A: Statistical Mechanics and its Applications 186, no. 3-4 (1992): 441–81. http://dx.doi.org/10.1016/0378-4371(92)90210-h.

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29

Passare, Mikael, and August Tsikh. "Residue Integrals and their Mellin Transforms." Canadian Journal of Mathematics 47, no. 5 (1995): 1037–50. http://dx.doi.org/10.4153/cjm-1995-055-4.

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AbstractGiven an almost arbitrary holomorphic map we study the structure of the associated residue integral and its Mellin transform, and the relation between these two objects. More precisely, we relate the limit behaviour of the residue integral to the polar structure of the Mellin transform. We consider also ideals connected to nonisolated singularities.

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30

Choie, Youngju, and Min Ho Lee. "Mellin Transforms of Mixed Cusp Forms." Canadian Mathematical Bulletin 42, no. 3 (1999): 263–73. http://dx.doi.org/10.4153/cmb-1999-032-3.

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AbstractWe define generalized Mellin transforms of mixed cusp forms, show their convergence, and prove that the function obtained by such a Mellin transform of a mixed cusp form satisfies a certain functional equation. We also prove that a mixed cusp form can be identified with a holomorphic form of the highest degree on an elliptic variety.

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31

HASEGAWA, YASUKO, and TAKUYA MIYAZAKI. "TWISTED MELLIN TRANSFORMS OF A REAL ANALYTIC RESIDUE OF SIEGEL–EISENSTEIN SERIES OF DEGREE 2." International Journal of Mathematics 20, no. 08 (2009): 1011–27. http://dx.doi.org/10.1142/s0129167x09005625.

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We study a residual form of a real analytic Siegel–Eisenstein series, which generates a certain derived functor module occurring in a degenerate principal series representation. We compute its Mellin transforms twisted by various Maass wave forms to get explicit formulas as our results. We apply them to prove meromorphic continuations together with functional equations which are satisfied by those twisted Mellin transforms.

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32

Bardaro, Carlo, Paul L. Butzer, Ilaria Mantellini, and Gerhard Schmeisser. "Valiron’s Interpolation Formula and a Derivative Sampling Formula in the Mellin Setting Acquired via Polar-Analytic Functions." Computational Methods and Function Theory 20, no. 3-4 (2020): 629–52. http://dx.doi.org/10.1007/s40315-020-00341-w.

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AbstractIn this paper, we first recall some recent results on polar-analytic functions. Then we establish Mellin analogues of a classical interpolation of Valiron and of a derivative sampling formula. As consequences a new differentiation formula and an identity theorem in Mellin–Bernstein spaces are obtained. The main tool in the proofs is a residue theorem for polar-analytic functions.

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33

Barmak Honarvar Shakibaei, Barmak Honarvar Shakibaei, and Raveendran Paramesran Raveendran Paramesran. "Fourier–Mellin expansion coefficients of scaled pupils." Chinese Optics Letters 11, no. 8 (2013): 080101–80104. http://dx.doi.org/10.3788/col201311.080101.

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34

Mezrag, C. "Modeling the Pion Generalized Parton Distribution." International Journal of Modern Physics: Conference Series 40 (January 2016): 1660048. http://dx.doi.org/10.1142/s201019451660048x.

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We compute the pion Generalized Parton Distribution (GPD) in a valence dressed quarks approach. We model the Mellin moments of the GPD using Ansätze for Green functions inspired by the numerical solutions of the Dyson-Schwinger Equations (DSE) and the Bethe-Salpeter Equation (BSE). Then, the GPD is reconstructed from its Mellin moment using the Double Distribution (DD) formalism. The agreement with available experimental data is very good.

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35

LI, T. RAY, and MARIANITO R. RODRIGO. "Alternative results for option pricing and implied volatility in jump-diffusion models using Mellin transforms." European Journal of Applied Mathematics 28, no. 5 (2016): 789–826. http://dx.doi.org/10.1017/s0956792516000516.

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In this article, we use Mellin transforms to derive alternative results for option pricing and implied volatility estimation when the underlying asset price is governed by jump-diffusion dynamics. The current well known results are restrictive since the jump is assumed to follow a predetermined distribution (e.g., lognormal or double exponential). However, the results we present are general since we do not specify a particular jump-diffusion model within the derivations. In particular, we construct and derive an exact solution to the option pricing problem in a general jump-diffusion framework

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36

Sinclair, Christopher D. "The distribution of Mahler's measures of reciprocal polynomials." International Journal of Mathematics and Mathematical Sciences 2004, no. 52 (2004): 2773–86. http://dx.doi.org/10.1155/s0161171204312469.

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We study the distribution of Mahler's measures of reciprocal polynomials with complex coefficients and bounded even degree. We discover that the distribution function associated to Mahler's measure restricted to monic reciprocal polynomials is a reciprocal (or antireciprocal) Laurent polynomial on[1,∞)and identically zero on[0,1). Moreover, the coefficients of this Laurent polynomial are rational numbers times a power ofπ. We are led to this discovery by the computation of the Mellin transform of the distribution function. This Mellin transform is an even (or odd) rational function with poles

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37

Mohan, N. L., L. Anandababu, and S. V. Seshagiri Rao. "Gravity interpretation using the Mellin transform." GEOPHYSICS 51, no. 1 (1986): 114–22. http://dx.doi.org/10.1190/1.1442024.

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The Mellin transform of the gravity effect of a buried sphere and two‐dimensional horizontal circular cylinder, and the first horizontal derivative of the gravity effect of a two‐dimensional thin fault layer are derived. The transformed functions are bounded by two asymptotes. They are analyzed and procedures are formulated excluding the asymptotic regions for the extraction of the body parameters. The application of the Mellin transform is tested on simulated models as well as on two field examples: (1) the Humble Dome gravity anomaly near Houston, USA; and (2) the Louga gravity anomaly, USA.

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38

Poroshina, N. I., and V. M. Ryabov. "Evaluation of the Riemann-Mellin integral." Vestnik St. Petersburg University: Mathematics 42, no. 4 (2009): 293–98. http://dx.doi.org/10.3103/s1063454109040074.

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39

ZHENG SHI-HAI, CHEN YAN-SONG, and LI DE-HUA. "REALIZATION OF TWO-DIMENSIONAL MELLIN TRANSFORM." Acta Physica Sinica 39, no. 5 (1990): 749. http://dx.doi.org/10.7498/aps.39.749.

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40

Łysik, Grzegorz. "On the structure of Mellin distributions." Annales Polonici Mathematici 51, no. 1 (1990): 219–28. http://dx.doi.org/10.4064/ap-51-1-219-228.

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41

Mainardi, F., G. Pagnini, and R. Gorenflo. "Mellin Convolution for Subordinated Stable Processes." Journal of Mathematical Sciences 132, no. 5 (2006): 637–42. http://dx.doi.org/10.1007/s10958-006-0008-y.

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42

López, José L. "Asymptotic Expansions of Mellin Convolution Integrals." SIAM Review 50, no. 2 (2008): 275–93. http://dx.doi.org/10.1137/060653524.

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43

VERMASEREN, J. A. M. "HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS." International Journal of Modern Physics A 14, no. 13 (1999): 2037–76. http://dx.doi.org/10.1142/s0217751x99001032.

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This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic series, binomial coefficients and denominators. In addition it treats Mellin transforms and the inverse Mellin transformation for functions that are encountered in Feynman diagram calculations. Together with results for the values of the higher harmonic series at infinity the presented algorithms can be used for the symbolic evaluation of whole classes of integrals that were thus far intractable. Also many of the sums that had to be evaluated seem to involve new results. Most of the algorithms have

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44

Ravichandran, G., and M. M. Trivedi. "Circular-Mellin features for texture segmentation." IEEE Transactions on Image Processing 4, no. 12 (1995): 1629–40. http://dx.doi.org/10.1109/83.475513.

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45

Dines, N., and B. W. Schulze. "Mellin-edge representations of elliptic operators." Mathematical Methods in the Applied Sciences 28, no. 18 (2005): 2133–72. http://dx.doi.org/10.1002/mma.643.

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46

Deitmar, Anton. "Mellin transforms ofp-adic Whittaker functions." Mathematische Nachrichten 261-262, no. 1 (2003): 37–46. http://dx.doi.org/10.1002/mana.200310111.

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47

Flajolet, Philippe, Peter Grabner, Peter Kirschenhofer, Helmut Prodinger, and Robert F. Tichy. "Mellin transforms and asymptotics: digital sums." Theoretical Computer Science 123, no. 2 (1994): 291–314. http://dx.doi.org/10.1016/0304-3975(92)00065-y.

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48

Flajolet, Philippe, Xavier Gourdon, and Philippe Dumas. "Mellin transforms and asymptotics: Harmonic sums." Theoretical Computer Science 144, no. 1-2 (1995): 3–58. http://dx.doi.org/10.1016/0304-3975(95)00002-e.

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49

Ravichandran, Gopalan, and Mohan M. Trivedi. "Circular-Mellin features for texture segmentation." IEEE Transactions on Image Processing 4, no. 12 (1995): 1629–40. http://dx.doi.org/10.1109/tip.1995.8876000.

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50

Lyudkovskii, S. V. "Mellin transforms over Cayley-Dickson algebras." Doklady Mathematics 77, no. 2 (2008): 249–53. http://dx.doi.org/10.1134/s1064562408020233.

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