Results 1 to 10 of about 79,515 (172)

On the product formula and convolution associated with the index Whittaker transform [PDF]

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 ...
Guerra, Manuel, Sousa, Rúben, Yakubovich, Semyon   +2 more
core   +5 more sources

New Advances in Index Whittaker Transforms

Mathematics
In this paper, we establish new Lp-boundedness results and derive novel Parseval–Goldstein relations for the index Whittaker transform. Additionally, we obtain Abelian theorems for the distributional index Whittaker transform applied to distributions ...
Hari Mohan Srivastava, Jeetendrasingh Maan, Emilio Ramón Negrín   +2 more
doaj   +3 more sources

Asymptotic Behaviours for an Index Whittaker Transform over ${\mathcal{E}}^{\prime }\left({\mathbb{R}}_{+}\right)$

Mathematics
The objective of this research is to obtain the asymptotic behaviour of compactly supported distributions and generalized functions for a variant of the index Whittaker transform.
Emilio R. Negrín, Jeetendrasingh Maan, Benito J. González   +2 more
doaj   +3 more sources

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.
S. Yakubovich
semanticscholar   +4 more sources

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, Saddam Husain, Talha Usman, Serkan Araci   +3 more
doaj   +2 more sources

Index Whittaker transform for Boehmians

Indian Journal of Pure and Applied Mathematics, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeetendrasingh Maan, Akhilesh Prasad
openaire   +2 more sources

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, Rana Safdar Ali, Iqra Nayab, Gauhar Rahman, Thabet Abdeljawad, Kottakkaran Sooppy Nisar   +5 more
doaj   +2 more sources

A new index transform with the square of Whittaker's function

Complex Analysis and Operator Theory
An 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
openaire   +3 more sources

On a heat kernel for the index Whittaker transform [PDF]

Carpathian Journal of Mathematics, 2013
We introduce a notion of the heat kernel associated with the index Whittaker transform. We study its differential and mapping properties and a relationship with a family of the corresponding Weierstrass’s type transforms.
M. M. RODRIGUES, S. YAKUBOVICH
openaire   +1 more source

Whittaker limits of difference spherical functions [PDF]

, 2009
We introduce the (global) q-Whittaker function as the limit at t=0 of the q,t-spherical function extending the symmetric Macdonald polynomials to arbitrary eigenvalues. The construction heavily depends on the technique of the q-Gaussians developed by the
Cherednik, Ivan
core   +8 more sources