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On an integral transform

International Journal of Mathematics and Mathematical Sciences, 1988
A formula of inversion is established for an integral transform whose kernel is the Bessel function Ju(kr) where r varies over the finite interval (0,a) and the order u is taken to be the eigenvalue parameter.
D. Naylor
doaj   +1 more source

Another kind of general integral transform called “emad-salam-elaf transform” [PDF]

BIO Web of Conferences
This article introduces another type of integral transformation in its general format; this general transformation is proposed as a new general integral transformation called the “Emad-Salam-Elaf Transform.” This general integral transformation is ...
Abdulhussein Sehen Salam, Kuffi Emad A., Sabah Abbas Elaf   +2 more
doaj   +1 more source

Fractional Operators Associated with the ք-Extended Mathieu Series by Using Laplace Transform

Advances in Mathematical Physics, 2021
In this paper, our leading objective is to relate the fractional integral operator known as Pδ-transform with the ք-extended Mathieu series. We show that the Pδ-transform turns to the classical Laplace transform; then, we get the integral relating the ...
Hafte Amsalu Kahsay, Adnan Khan, Sajjad Khan, Kahsay Godifey Wubneh   +3 more
doaj   +1 more source

On Integral Transforms [PDF]

Proceedings of the Edinburgh Mathematical Society, 1956
Titchmarsh and others [4] havo studied integral transform pairs of tho typeshowing how such pairs may be generated as a consequence of the relation which holds between the Mellin transforms of the kernels.
openaire   +1 more source

On the Mohand Transform and Ordinary Differential Equations with Variable Coefficients

مجلة المختار للعلوم, 2020
The Mohand transform is a new integral transform introduced by Mohand M. Abdelrahim Mahgoub to facilitate the solution of differential and integral equations.
Mohamed E. Attaweel, Haneen Almassry
doaj   +1 more source

The Dunkl kernel and intertwining operator for dihedral groups

, 2020
Dunkl operators associated with finite reflection groups generate a commutative algebra of differential-difference operators. There exists a unique linear operator called intertwining operator which intertwines between this algebra and the algebra of ...
De Bie, Hendrik, Lian, Pan
core   +1 more source

Clifford algebras, Fourier transforms and quantum mechanics [PDF]

, 2012
In this review, an overview is given of several recent generalizations of the Fourier transform, related to either the Lie algebra sl_2 or the Lie superalgebra osp(1|2).
De Bie, Hendrik
core   +2 more sources

On an Application of Lattice Integral Transforms in Image Processing

Mathematics, 2022
The lattice integral transforms have been introduced to generalize lower and upper fuzzy transforms for lattice-valued functions that are used to approximate original functions from below and above.
Michal Holčapek, Viec Bui Quoc, Petr Ferbas   +2 more
doaj   +1 more source

Laplace-Carson integral transform for exact solutions of non-integer order initial value problems with Caputo operator

, 2020
Finding the exact solution to dynamical systems in the field of mathematical modeling is extremely important and to achieve this goal, various integral transforms have been developed.
Prem Kumar, S. Qureshi
semanticscholar   +1 more source

Fractional calculus of generalized Lommel-Wright function and its extended Beta transform

AIMS Mathematics, 2021
In this work, we apply generalized Saigo fractional differential and integral operators having k-hypergeometric function as a kernel, to extended Lommel-Wright function.
Saima Naheed , Shahid Mubeen, Thabet Abdeljawad   +2 more
doaj   +1 more source