Results 111 to 120 of about 2,125,985 (294)

On the Mellin Transform of the Coefficient Functions of $F_L(x,Q^2)$ [PDF]

open access: yesarXiv, 1997
The Mellin-transforms of the next-to-leading order Wilson coefficients of the longitudinal structure function are evaluated.
arxiv  

Mellin transform approach to rephasing invariants

open access: yesPhysical Review D, 2020
1+17 pages, 4 ...
Jean-François Fortin   +3 more
openaire   +3 more sources

Mellin transform of Whittaker functions [PDF]

open access: yesarXiv, 2000
In this note we show that for an arbitrary semisimple Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We locate the possible poles.
arxiv  

A direct approach to the mellin transform

open access: yesThe Journal of Fourier Analysis and Applications, 1997
The aim of this paper is to present an approach to the Mellin transform that is fully independent of Laplace or Fourier transform theory, in a systematic, unified form, containing the basic properties and major results under natural, minimal hypotheses upon the functions in questions. Cornerstones of the approach are two definitions of the transform, a
Butzer, Paul L., Jansche, Stefan
openaire   +2 more sources

Barrier Option Under Lévy Model : A PIDE and Mellin Transform Approach

open access: yesMathematics, 2016
We propose a stochastic model to develop a partial integro-differential equation (PIDE) for pricing and pricing expression for fixed type single Barrier options based on the Itô-Lévy calculus with the help of Mellin transform.
Sudip Ratan Chandra, Diganta Mukherjee
doaj   +1 more source

On fractional order Mellin transform and some of its properties

open access: yes, 2017
In this work, we introduce fractional Mellin transform of order α; 0 < α ≤ 1 on a function which belongs to the Lizorkin space. Further, some properties and applications of fractional Mellin transform are given.
M. Omran, Adem Kılıçman
semanticscholar   +1 more source

A Representation of the Associated Legendre Functions of the First Kind on the Cut as the Mellin Transformation of the Riesz Kernel [PDF]

open access: yesarXiv, 2012
A Mellin transform representation is derived for the associated Legendre functions of the first kind on the ...
arxiv  

Functional Mellin Transforms

open access: yes, 2019
Conventional functional/path integrals used in physics often can be defined as infinite-dimensional analogs of Fourier transforms. It turns out that the infinite-dimensional analog of the Mellin transform similarly defines a class of functional integrals.
LaChapelle, J.
core  

Una fórmula de adición usando la Transformada de Mellin A summation formula concerning the Mellin Transform

open access: yesRevista Técnica de la Facultad de Ingeniería, 2010
En este trabajo una nueva fórmula de adición es derivada usando la transformada de Mellin. Esta fórmula es aplicada para sumar varias series relacionadas con las integrales elípticas y las funciones thetaWe derive a new summation formula involving Mellin
M.L Glasser   +2 more
doaj  

Mellin transforms of multivariate rational functions [PDF]

open access: yesarXiv, 2010
This paper deals with Mellin transforms of rational functions $g/f$ in several variables. We prove that the polar set of such a Mellin transform consists of finitely many families of parallel hyperplanes, with all planes in each such family being integral translates of a specific facial hyperplane of the Newton polytope of the denominator $f$.
arxiv  

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