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Family of Distributions Derived from Whittaker Function
Mathematics, 2022 In this paper, we introduce a general family of distributions based on Whittaker function. The properties of obtained distributions, moments, ordering, percentiles, and unimodality are studied. The distributions’ parameters are estimated using methods of
Maha A. Omair +3 more
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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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Geometric RSK correspondence, Whittaker functions and symmetrized random polymers [PDF]
Inventiones Mathematicae, 2013 We show that the geometric lifting of the RSK correspondence introduced by A.N. Kirillov (2001) is volume preserving with respect to a natural product measure on its domain, and that the integrand in Givental's integral formula for GL(n,R)-Whittaker ...
Neil O'Connell +2 more
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A Relativistic Conical Function and its Whittaker Limits [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 In previous work we introduced and studied a function R(a+,a−,c;v,vˆ) that is a generalization of the hypergeometric function _2F_1 and the Askey-Wilson polynomials.
Simon Ruijsenaars
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On q-deformed gl(l+1)-Whittaker function II
, 2008 A representation of a specialization of a q-deformed class one lattice gl(\ell+1}-Whittaker function in terms of cohomology groups of line bundles on the space QM_d(P^{\ell}) of quasi-maps P^1 to P^{\ell} of degree d is proposed.
A. Braverman +20 more
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The Green-function transform and wave propagation [PDF]
Frontiers in Physics, 2014 Fourier methods well known in signal processing are applied to three-dimensional wave propagation problems. The Fourier transform of the Green function, when written explicitly in terms of a real-valued spatial frequency, consists of homogeneous and ...
Colin eSheppard +2 more
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Criteria in Nuclear Fréchet Spaces and Silva Spaces with Refinement of the Cannon-Whittaker Theory
Journal of Function Spaces, 2020 Along with the theory of bases in function spaces, the existence of a basis is not always guaranteed. The class of power series spaces contains many classical function spaces, and it is of interest to look for a criterion for this class to ensure the ...
Mahmoud Abul-Ez, Mohra Zayed
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On the product formula and convolution associated with the index Whittaker transform
Journal of Mathematical Analysis and Applications, 2019 We deduce a product formula for the Whittaker $W$ function whose kernel does not depend on the second parameter. Making use of this formula, we define the positivity-preserving convolution operator associated with the index Whittaker transform, which is ...
Rúben Sousa, Manuel Guerra
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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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Axioms, 2023 In the first part of this investigation, we considered the parameter differentiation of the Whittaker function Mκ,μx. In this second part, first derivatives with respect to the parameters of the Whittaker function Wκ,μx are calculated.
Alexander Apelblat +1 more
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