Results 11 to 20 of about 2,192,868 (209)
Boehmian spaces for a class of Whittaker integral transformations
Kuwait Journal of Science, 2016 In this paper, we are concerned with a class of Whittaker integral transforms involving confluent hypergeometric functions as kernels. We present certain convolution products and derive the prerequisite axioms for generating the relevant spaces of ...
shrideh al-omari
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A new index transform with the square of Whittaker's function
Complex Analysis and Operator TheoryAn index transform, involving the square of Whittaker's function is introduced and investigated. The corresponding inversion formula is established. Particular cases cover index transforms of the Lebedev type with products of the modified Bessel functions.
S. Yakubovich
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A study on integral transforms of the generalized Lommel-Wright function [PDF]
Vojnotehnički Glasnik, 2022 Introduction/purpose: The aim of this article is to establish integral transforms of the generalized Lommel-Wright function. Methods: These transforms are expressed in terms of the Wright Hypergeometric function.
Mohammad Saeed Khan +3 more
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Discrete Index Whittaker Transforms [PDF]
Results in Mathematics, 2021 Discrete analogs of the index Whittaker transform are introduced and investigated. It involves series and integrals with respect to a second parameter of the Whittaker function $W_{ , {i n} }(x), \ x >0, \ \in \mathbb{R}, \ n \in \mathbb{N}, \ i $ is the imaginary unit.
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Results Concerning the Analysis of Multi-Index Whittaker Function
Journal of Mathematics, 2022 A variety of functions, their extensions, and variants have been extensively investigated, mainly due to their potential applications in diverse research areas.
Nabiullah Khan +3 more
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Higher Hida theory and p-adic L-functions for GSp(4) [PDF]
, 2021 We use the "higher Hida theory" recently introduced by the second author to p-adically interpolate periods of non-holomorphic automorphic forms for GSp(4), contributing to coherent cohomology of Siegel threefolds in positive degrees.
Loeffler, David +3 more
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Fractional integration and inversion formulae associated with the generalized Whittaker transform [PDF]
Pacific Journal of Mathematics, 1968 H. Srivastava
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Integral transforms involving a generalized k-Bessel function
Demonstratio Mathematica, 2023 The main goal of this study was to look into some new integral transformations that are associated with a generalized kk-Bessel function. Integral formulas for the generalized kk-Bessel function have been established using the Laplace transform, Euler ...
Khammash Ghazi S. +4 more
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Mellin transforms of Whittaker functions [PDF]
Bulletin de la Société mathématique de France, 1993 The authors study in detail the Mellin transform of Jacquet's Whittaker function for \(\text{GL}(n,\mathbb{R})\) and give a new proof for its meromorphic continuation, see also [\textit{H. Jacquet} and \textit{J. Shalika}, Automorphic forms, Shimura varieties and \(L\)-functions, Proc. Conf. Ann Arbor 1988, Perspect. Math.
Friedberg, Solomon, Goldfeld, Dorian
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Analysis of Generalized Bessel–Maitland Function and Its Properties
Axioms, 2023 In this article, we introduce the generalized Bessel–Maitland function (EGBMF) using the extended beta function and some important properties obtained.
Talha Usman +2 more
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