Results 21 to 30 of about 36 (35)
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
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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
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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
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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
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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
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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
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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
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Demonstratio MathematicaThis article presents two types of the new convolutions for the Hartley integral transform associated with the Hermite functions, gives rise to the identification of some commutative and non-commutative Banach algebras, and to the Young inequalities ...
Tuan Nguyen Minh +2 more
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Solutions of certain initial-boundary value problems via a new extended Laplace transform
Nonlinear EngineeringIn this article, we present a novel extended exponential kernel Laplace-type integral transform. The Laplace, natural, and Sumudu transforms are all included in the suggested transform.
Almalki Yahya +2 more
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On the fractional Fourier and continuous fractional wave packet transforms of almost periodic functions. [PDF]
J Inequal Appl, 2017 Uzun BÜ.
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