Results 1 to 10 of about 2,192,868 (209)

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 ...
Rúben Sousa, Manuel Guerra
exaly   +4 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

Whittaker transform on distributions [PDF]

Indian Journal of Pure and Applied Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rodrigues, M. M., Vieira, N.
semanticscholar   +4 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

Abelian theorems for Whittaker transforms [PDF]

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
doaj   +2 more sources

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, Shanshan eKou, Jiao eLin   +2 more
doaj   +4 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   +2 more sources

Whittaker–Stockwell Transform and Tikhonov Regularization Problem

Journal of Mathematical Sciences, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Soltani, F., Aledawish, S.
openaire   +3 more sources

Abelian Theorem for Generalized Mellin-Whittaker Transform

IOSR Journal of Mathematics, 2012
The paper provides the Abelian and Terberian theorem for generalized Mellin-Whittaker transform.
A. Gudadhe, R. Kene
openaire   +2 more sources

Uncertainty principles for the Whittaker Wigner transform

Operators and Matrices
. The Whittaker Wigner transform (WWT) is a novel addition to the class of Wigner transforms, which has gained a respectable status in the realm of time-frequency signal analysis within a short span of time.
H. Mejjaoli
openaire   +2 more sources