Results 31 to 40 of about 84,466 (284)
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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On parabolic Whittaker functions II [PDF]
Open Mathematics, 2012 Abstract We propose a Givental-type stationary phase integral representation for the restricted Grm,N-Whittaker function, which is expected to describe the (S 1×U N)-equivariant Gromov-Witten invariants of the Grassmann variety Grm,N.
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On the Reversibility of Discretization
Mathematics, 2020 “Discretization” usually denotes the operation of mapping continuous functions to infinite or finite sequences of discrete values. It may also mean to map the operation itself from one that operates on functions to one that operates on infinite or finite
Jens V. Fischer, Rudolf L. Stens
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Twisted zastava and $q$-Whittaker functions [PDF]
, 2017 In this note, we extend the results of arxiv:1111.2266 and arxiv:1203.1583 to the non simply laced case. To this end we introduce and study the twisted zastava spaces.Comment: 18 pages.
Braverman, Alexander +1 more
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Whittaker-Type Differential Equation: A Solution via Integral Functions
AppliedMathIn this study, we consider and analyze an inhomogeneous Whittaker-type differential equation of the form d2y(x)dx2+1xdy(x)dx−α2x2−β2y(x)=g(x), where α and β are given parameters.
M. S. Abu Zaytoon +2 more
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On the composition series of the standard Whittaker (g,K)-modules
, 2011 For a real reductive linear Lie group G, the space of Whittaker functions is the representation space induced from a non-degenerate unitary character of the Iwasawa nilpotent subgroup.
Taniguchi, Kenji
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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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Inhomogeneous Whittaker Equation with Initial and Boundary Conditions
MathematicsIn this study, a semi-analytical solution to the inhomogeneous Whittaker equation is developed for both initial and boundary value problems. A new class of special integral functions Ziκ,μf(x), along with their derivatives, is introduced to facilitate ...
M. S. Abu Zaytoon +2 more
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Abelian theorems for Whittaker transforms
International Journal of Mathematics and Mathematical Sciences, 1987 Initial and final value Abelian theorems for the Whittaker transform of functions and of distributions are obtained. The Abelian theorems are obtained as the complex variable of the transform approaches 0 or ∞ in absolute value inside a wedge region in ...
Richard D. Carmichael, R. S. Pathak
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Extreme dilaton black holes in 2 + 1 dimensions: quasinormal modes
European Physical Journal C: Particles and Fields, 2022 We study neutral massless scalar field perturbations around an extreme dilaton black hole in 2 + 1 dimensions: the wave equations of the massless scalar field is shown to be exactly solvable in terms of Whittaker functions.
Sharmanthie Fernando +2 more
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