Results 21 to 30 of about 84,466 (284)
Methods of smoothing applied to differences in star positions in observational catalogues [PDF]
Serbian Astronomical Journal, 1998 Three different methods, Whittaker - Robinson - Vondrak (WRV), cubic spline (SPL) and Expansion of the Elementary Trigonometric and Exponential Functions (ETE), are applied to differences in star positions of five observational catalogues in ...
Popović N.
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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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Test vectors for Rankin-Selberg $L$-functions [PDF]
, 2019 We study the local zeta integrals attached to a pair of generic representations $(\pi,\tau)$ of $GL_n\times GL_m$, $n>m$, over a $p$-adic field. Through a process of unipotent averaging we produce a pair of corresponding Whittaker functions whose zeta ...
Booker, Andrew R. +2 more
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Mathematical Modelling and Analysis, 2020 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.
Imre F. Barna +4 more
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Laplace transform of certain functions with applications
International Journal of Mathematics and Mathematical Sciences, 2000 The Laplace transform of the functions tν(1+t)β, Reν>−1, is expressed in terms of Whittaker functions. This expression is exploited to evaluate infinite integrals involving products of Bessel functions, powers, exponentials, and Whittaker functions. Some
M. Aslam Chaudhry
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Equations in dual variables for Whittaker functions [PDF]
, 2003 It is known that the Whittaker functions $w(q,\lambda)$ associated to the group SL(N) are eigenfunctions of the Hamiltonians of the open Toda chain, hence satisfy a set of differential equations in the Toda variables $q_i$.
Babelon, O.
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Mellin Transforms of Whittaker Functions [PDF]
Canadian Mathematical Bulletin, 2002 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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, 2010 Spherical Whittaker functions on the metaplectic n-fold cover of GL(r+1) over a nonarchimedean local field containing n distinct n-th roots of unity may be expressed as the partition functions of statistical mechanical systems that are variants of the ...
A Berenstein +9 more
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Degenerate Whittaker functions for $\Sp_n(\R)$ [PDF]
International Mathematics Research Notices, 2016 In this paper, we construct Whittaker functions with exponential growth for the degenerate principal series of the symplectic group of genus n induced from the Siegel parabolic subgroup. This is achieved by explicitly constructing a certain Goodman–Wallach operator which yields an intertwining map from the degenerate principal series to the space of
Bruinier, J., Funke, J., Kudla, S.
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Integral transforms of an extended generalized multi-index Bessel function
AIMS Mathematics, 2020 In this paper, we discuss the extended generalized multi-index Bessel function by using the extended beta type function. Then we investigate its several properties including integral representation, derivatives, beta transform, Laplace transform, Mellin ...
Shahid Mubeen +5 more
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