Results 141 to 150 of about 2,125,985 (294)

Error bound analysis and singularly perturbed Abel-Volterra equations

open access: yesJournal of Applied Mathematics, 2004
Asymptotic solutions of nonlinear singularly perturbed Volterra integral equations with kernels possessing integrable singularity are investigated using singular perturbation methods and the Mellin transform technique.
Angelina M. Bijura
doaj   +1 more source

In memory of Alois Apfelbeck: An Interconnection between Cayley-Eisenstein-Pólya and Landau Probability Distributions

open access: yesActa Polytechnica, 2013
The interconnection between the Cayley-Eisenstein-Pólya distribution and the Landau distribution is studied, and possibly new transform pairs for the Laplace and Mellin transform and integral expressions for the Lambert W function have been found.
Vladimír Vojta
doaj  

Mellin Analysis and its distance concept. Applications to sampling theory [PDF]

open access: yesarXiv, 2016
In this paper a notion of functional "distance" in the Mellin transform setting is introduced and a general representation formula is obtained for it. Also, a determination of the distance is given in terms of Lipschitz classes and Mellin-Sobolev spaces.
arxiv  

On weak Mellin transforms, second degree characters and the Riemann hypothesis

open access: yes, 2015
We say that a function f defined on R or Qp has a well defined weak Mellin transform (or weak zeta integral) if there exists some function $M\_f(s)$ so that we have $Mell(\phi \star f,s) = Mell(\phi,s)M\_f(s)$ for all test functions $\phi$ in $C\_c ...
Sauvalle, Bruno
core   +1 more source

Tree-level gluon amplitudes on the celestial sphere

open access: yesPhysics Letters B, 2018
Pasterski, Shao and Strominger have recently proposed that massless scattering amplitudes can be mapped to correlators on the celestial sphere at infinity via a Mellin transform. We apply this prescription to arbitrary n-point tree-level gluon amplitudes.
Anders Ø. Schreiber   +2 more
doaj  

A new generalized Hilfer-type fractional derivative with applications to space-time diffusion equation

open access: yesResults in Physics, 2021
This paper is concerned to present and apply a new generalized fractional derivative, that is the Generalized Hilfer-type (GH) fractional derivative.
Tahir Ullah Khan   +2 more
doaj  

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