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q-Whittaker functions, finite fields, and Jordan forms
Selecta Mathematica, 2022The q-Whittaker function Wλ(x;q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin ...
Steven N. Karp, H. Thomas
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Hyper-Gaussian regularized Whittaker–Kotel’nikov–Shannon sampling series
Analysis and Applications, 2022The reconstruction of a bandlimited function from its finite sample data is fundamental in signal analysis. It is well known that oversampling of a bandlimited function leads to exponential convergence in its reconstruction.
Liangzhi Chen, Yang Wang, Haizhang Zhang
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2011
This chapter shows that Weyl group multiple Dirichlet series are expected to be Whittaker coefficients of metaplectic Eisenstein series. The fact that Whittaker coefficients of Eisenstein series reduce to the crystal description that was given in Chapter 2 is proved for Type A.
Ben Brubaker +2 more
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This chapter shows that Weyl group multiple Dirichlet series are expected to be Whittaker coefficients of metaplectic Eisenstein series. The fact that Whittaker coefficients of Eisenstein series reduce to the crystal description that was given in Chapter 2 is proved for Type A.
Ben Brubaker +2 more
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Spherical and Whittaker functions via DAHA II
Selecta Mathematica, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cherednik, Ivan, Ma, Xiaoguang
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Confluence from Siegel–Whittaker functions to Whittaker functions on $Sp(2,\mathbb{R})$
Mathematical Proceedings of the Cambridge Philosophical Society, 2006We discuss a confluence from Siegel–Whittaker functions to Whittaker functions on by using their explicit formulae. In our proof, we use expansion theorems of the good Whittaker functions by the secondary Whittaker functions.
MIKI HIRANO, TAKU ISHII, TAKAYUKI ODA
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Computational and Applied Mathematics, 2021
Yoke Teng Toh, Chang Phang, Yong Xian Ng
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Yoke Teng Toh, Chang Phang, Yong Xian Ng
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Integrals involving Whittaker functions
Annali di Matematica Pura ed Applicata, 1964Integrals involving products of two Whittaker functions and Bessel functions are evaluated in §§ 3, 4. Also the integrals Open image in new window are evaluated in § 5 while in § 6 integrals involving the product of three Whittaker functions are established.
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Definite integrals involving Whittaker functions
Mathematical Proceedings of the Cambridge Philosophical Society, 1968Little is known about definite integrals for the Whittaker functions. The object of this paper is to establish such results and the following formulae are establishedwhere the symbol means that in the expression following it i is to be replaced by –i and the two expressions are to be added.
Ragab, F. M., Simary, M. A.
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International Journal of Applied and Computational Mathematics, 2020
A. Belafhal, E. M. E. Halba, T. Usman
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A. Belafhal, E. M. E. Halba, T. Usman
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Some properties of bivariate Mittag-Leffler function
The Journal of Analysis, 2023Mohannad J. S. Shahwan +2 more
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