Results 131 to 140 of about 2,125,985 (294)

On the Ranges of Mellin Multiplier Transformations

Journal of Mathematical Analysis and Applications, 1996
AbstractThe ranges of Mellin multiplier transformations are considered when the multiplier has zeros. Applications are made to Bilateral Laplace and Fourier multiplier transformations.
openaire   +2 more sources

HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS [PDF]

International Journal of Modern Physics A, 1999
This paper describes algorithms to deal with nested symbolic sums over combinations of harmonic series, binomial coefficients and denominators. In addition it treats Mellin transforms and the inverse Mellin transformation for functions that are encountered in Feynman diagram calculations.
openaire   +3 more sources

A Mellin transform method for solving fuzzy differential equations

, 2016
In this paper, we introduce the fuzzy Mellin transform and investigate some of its operator properties. We then establish the connections with the two-side fuzzy Laplace transform.
Xian Sun, Zhanpeng Yang
semanticscholar   +1 more source

A class of index transforms generated by the Mellin and Laplace operators [PDF]

arXiv, 2012
Classical integral representation of the Mellin type kernel in terms of the Laplace integral gives an idea to construct a new class of non-convolution (index) transforms. Particular examples give the Kontorovich-Lebedev-like transformation and new transformations with hypergeometric functions as kernels.
arxiv  

INTEGRAL TRANSFORMS WITH THE HOMOTOPY PERTURBATION METHOD AND SOME APPLICATIONS [PDF]

This paper applies He's homotopy perturbation method to compute a large variety of integral transforms. As illustration, the paper gives special attention to the Esscher transform, the Fourier transform, the Hankel transform, the Mellin transform, the ...
Jules Sadefo Kamdem
core  

Some triple equations involving inverse finite Mellin transforms [PDF]

, 1973
J. Tweed
openalex   +1 more source

Fourier–Mellin Transforms for Circular Domains [PDF]

Computational Methods and Function Theory, 2015
Generalized Fourier–Mellin transforms for analytic functions defined in simply connected circular domains are derived. Circular domains are taken to be those with boundaries that are a finite union of circular arcs, including straight line edges. The results are an extension to circular domains of the generalized Fourier transforms for convex polygons (
openaire   +4 more sources

Exchange Formulae for the Stieltjes–Poisson Transform over Weighted Lebesgue Spaces

Axioms
This paper aims to develop exchange formulae for the Stieltjes–Poisson transform by using Mellin-type convolutions in the context of weighted Lebesgue spaces. A key result is the introduction of bilinear and continuous Mellin-type convolutions, expanding
Hari M. Srivastava, Emilio Ramón Negrín, Jeetendrasingh Maan   +2 more
doaj   +1 more source

A transformation formula with primitive character

Lietuvos Matematikos Rinkinys, 2013
We prove a transformation formula for the exponential sum involving the divisor function, and primitive character modulo q. This formula can be applied to obtain meromorphic continuation for the Mellin transform of the square of Dirichlet L-function with
Aidas Balčiūnas
doaj   +1 more source

Singular expansion of the wave kernel and harmonic sums on Riemannian symmetric spaces of the non-compact type

AIMS Mathematics
The Mellin transform assigned to the convolution Poisson kernel on higher rank Riemannian symmetric spaces of the non-compact type is equal to the wave kernel.
Ali Hassani
doaj   +1 more source