Results 1 to 10 of about 7,847 (103)
New Inversion Techniques for Some Integral Transforms via the Generalized Product Theorem of the Mellin Transform [PDF]
ISRN Applied Mathematics, 2012 We introduce the generalized product theorem for the Mellin transform, and we solve certain classes of singular integral equations with kernels coincided with conditions of this theorem. Also, new inversion techniques for the Wright, Mittag-Leffler, Stieltjes, and Widder potential transforms are obtained.
Alireza Ansari +1 more
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INVERSION THEOREM ASSOCIATED WITH LINEAR CANONICAL-MELLIN TRANSFORM
International Journal of Researches in Biosciences and Agriculture Technology, 2023 : The Linear canonical-Mellin transform is a mixed type of integral transform in which function is both linear canonical and Mellin transformable. Extension of some transformations to generalized functions have been done time to time and their properties
Vidya Sharma and Nitin Dhange Vidya Sharma and Nitin Dhange +1 more
semanticscholar +3 more sources
Estimates and properties of certain q-Mellin transform on generalized q-calculus theory
Advances in Difference Equations, 2021 This paper deals with the generalized q-theory of the q-Mellin transform and its certain properties in a set of q-generalized functions. Some related q-equivalence relations, q-quotients of sequences, q-convergence definitions, and q-delta sequences are ...
Shrideh Al-Omari
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AxiomsThis paper presents a comprehensive study of Plancherel’s theorem and inversion formulae for the Widder–Lambert transform, extending its scope to Lebesgue integrable functions, compactly supported distributions, and regular distributions with compact ...
Emilio R. Negrín +2 more
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European Physical Journal D : Atomic, Molecular and Optical Physics, 2017 This paper presents the construction of a new set of generalized photon-added coherent states related to associated hypergeometric functions. These states satisfy all required mathematical and physical properties.
K. Sodoga, I. Aremua, M. N. Hounkonnou
semanticscholar +4 more sources
On the Relation between Lambert W-Function and Generalized Hypergeometric Functions
Stats, 2022 In the theory of special functions, finding correlations between different types of functions is of great interest as unifying results, especially when considering issues such as analytic continuation. In the present paper, the relation between Lambert W-
Pushpa Narayan Rathie +1 more
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Advances in Difference Equations, 2020 In this article, we investigate the so-called Inayat integral operator T p , q m , n $T_{p,q}^{m,n}$ , p , q , m , n ∈ Z $p,q,m,n\in \mathbb{Z}$ , 1 ≤ m ≤ q $1\leq m\leq q$ , 0 ≤ n ≤ p $0\leq n\leq p $ , on classes of generalized integrable functions. We
Shrideh Khalaf Al-Omari
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A NOTE ON THE AXISYMMETRIC DIFFUSION EQUATION [PDF]
The ANZIAM Journal, 2020 We consider the explicit solution to the axisymmetric diffusion equation. We recast the solution in the form of a Mellin inversion formula, and outline a method to compute a formula for $u(r,t)$ as a series using the Cauchy residue theorem.
A. E. Patkowski
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On the generalized Lebedev index transform [PDF]
, 2014 An essential generalization of the Lebedev index transform with the square of the Macdonald function is investigated. Namely, we consider a family of integral operators with the positive kernel $|K_{(i\tau+\alpha)/2}(x)|^2, \alpha \ge 0,\ x >0, \ \tau ...
Yakubovich, Semyon
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On free stable distributions [PDF]
, 2014 We investigate the analytical properties of free stable distributions and discover many connections with the classical stable distributions. Our main results include an explicit formula for the Mellin transform, series representations for the ...
Hasebe, Takahiro, Kuznetsov, Alexey
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