Results 31 to 40 of about 101 (73)
A representation of Jacobi functions
International Journal of Mathematics and Mathematical Sciences, Volume 8, Issue 4, Page 707-717, 1985., 1985 Recently, the continuous Jacobi transform and its inverse are defined and studied in [1] and [2]. In the present work, the transform is used to derive a series representation for the Jacobi functions , −½ ≤ α, β ≤ ½, α + β = 0, and λ ≥ −½. The case α = β = 0 yields a representation for the Legendre functions and has been dealt with in [3].
E. Y. Deeba, E. L. Koh
wiley +1 more source
L^{p_1}−L^{p_2} version of Miyachi's theorem for q-Bessel transform on the real line
, 2013 This paper deals with Miyachi’s theorem for the q-Bessel transform on the Real Line in [3].
Abdelmajid Khadari, R. Daher
semanticscholar +1 more source
The continuous Jacobi transform
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 1, Page 145-160, 1983., 1982 The purpose of this paper is to define the continuous Jacobi transform as an extension of the discrete Jacobi transform. The basic properties including the inversion theorem for the continuous Jacobi transform are studied. We also derive an inversion formula for the transform which maps L1(R+) into where w(x) = (1 − x) α(1 + x) β.
E. Y. Deeba, E. L. Koh
wiley +1 more source
for the q-Dunkl Transform on the Real Line
, 2013 This paper deals with Miyachi’s theorem for the q-Dunkl Transform introduced and studied in [3].
R. Daher, Abdelmajid Khadari
semanticscholar +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 2, Page 357-363, 1982., 1982 A number of interesting theorems have recently been added to the existing ones in the field of integral transforms. The new arrivals can be broadly classified under two categories. The first expresses relationship between images and originals of related functions in the transforms concerned while the second reveals interconnections existing between ...
K. C. Gupta
wiley +1 more source
A distributional Hardy transformation
International Journal of Mathematics and Mathematical Sciences, Volume 2, Issue 4, Page 693-701, 1979., 1979 The Hardy′s F‐transform is extended to distributions. The corresponding inversion formula is shown to be valid in the weak distributional sense. This is accomplished by transferring the inversion formula onto the testing function space for the generalized functions under consideration and then showing that the limiting process in the resulting formula ...
R. S. Pathak, J. N. Pandey
wiley +1 more source
On Some Generalizations of Classical Integral Transforms [PDF]
, 2012 MSC 2010: 44A15, 44A20, 33C60Using the generalized confluent hypergeometric function [6] some new integral transforms are introduced. They are generalizations of some classical integral transforms, such as the Laplace, Stieltjes, Widder-potential ...
Virchenko, Nina
core
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this paper, finite Meijer G‐transformation has been defined. A system of eigenfunctions is verified for the orthogonality condition. Operational calculus properties are shown. The classical concept of finite Meijer G‐transforms is studied in the present text.
Yashonanda Maurya +2 more
wiley +1 more source
Chebyshev polynomials of the first kind and the univariate Lommel function: Integral representations
Open MathematicsThis study investigates a number of integrals possessing products of different indices of the univariate Lommel function, sμ,ν(a){s}_{\mu ,\nu }\left(a), with various elementary and special functions.
da Fonseca Carlos M. +2 more
doaj +1 more source
Inverse hyperbolic equation, Spectral technique, Regularization method, Operational matrix
Kuwait Journal of ScienceRecently, the realm related to Euler's Beta function has played a significant role in the development of special function theory. In this study, a new extension of the special function known as Euler's Beta function with respect to the Mittag-Leffler ...
Firas Ghanim +2 more
doaj +1 more source