Results 21 to 30 of about 10,686,469 (301)
Tropical combinatorics and Whittaker functions [PDF]
Duke Mathematical Journal, 2014 We establish a fundamental connection between the geometric RSK correspondence and GL(N,R)-Whittaker functions, analogous to the well known relationship between the RSK correspondence and Schur functions. This gives rise to a natural family of measures associated with GL(N,R)-Whittaker functions which are the analogues in this setting of the Schur ...
Corwin, Ivan +3 more
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Construction of Generalized k-Bessel–Maitland Function with Its Certain Properties
Journal of Mathematics, 2021 The main motive of this study is to present a new class of a generalized k-Bessel–Maitland function by utilizing the k-gamma function and Pochhammer k-symbol.
Waseem Ahmad Khan +4 more
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Journal of New Results in Science, 2021 Special functions such as hypergeometric, zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and Mittag-Leffler functions are obtained as a solution to complex differential equations in engineering, science and technology.
Umar Muhammad Abubakar
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Nonsymmetric difference Whittaker functions [PDF]
Mathematische Zeitschrift, 2014 Starting with nonsymmetric global difference spherical functions, we define and calculate spinor (nonsymmetric) global q-Whittaker functions for arbitrary reduced root systems, which are reproducing kernels of the DAHA-Fourier transforms of Nil-DAHA and solutions of the q-Toda-Dunkl eigenvalue problem.
Cherednik, Ivan, Orr, Daniel
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Demazure crystals and the energy function [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 There is a close connection between Demazure crystals and tensor products of Kirillov–Reshetikhin crystals. For example, certain Demazure crystals are isomorphic as classical crystals to tensor products of Kirillov–Reshetikhin crystals via a canonically ...
Anne Schilling, Peter Tingley
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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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, 2011 We study spherical Whittaker functions on a metaplectic cover of GL(r + 1) over a nonarchimedean local eld using lattice models from statistical mechanics.
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On Parabolic Whittaker Functions [PDF]
Letters in Mathematical Physics, 2012 We derive a Mellin-Barnes integral representation for solution to generalized (parabolic) quantum Toda lattice introduced in \cite{GLO}, which presumably describes the $(S^1\times U_N)$-equivariant Gromov-Witten invariants of Grassmann variety.
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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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Whittaker functions and Demazure operators
Journal of Number Theory, 2015 We consider a natural basis of the Iwahori fixed vectors in the Whittaker model of an unramified principal series representation of a split semisimple p- adic group, indexed by the Weyl group. We show that the elements of this basis may be computed from one another by applying Demazure-Lusztig operators. The precise identities involve correction terms,
Brubaker, Ben +2 more
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