Results 111 to 120 of about 15,678 (241)

The Mellin transform of powers of the zeta-function [PDF]

open access: bronze, 2000
Aleksandar Ivić   +2 more
openalex   +1 more source

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

On modified Mellin transforms, Gauss-Laguerre quadrature, and the valuation of American call options [PDF]

open access: yes
We extend a framework based on Mellin transforms and show how to modify the approach to value American call options on dividend paying stocks. We present a new integral equation to determine the price of an American call option and its free boundary ...
Frontczak, Robert, Schöbel, Rainer
core  

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  

Motivic Mellin transforms

open access: yes
This work brings Mellin transforms into the realm of motivic integration. The new, larger class of motivic functions is stable under motivic Mellin and Fourier transforms, with general Fubini results and change of variables formulas. It specializes to $p$-adic integrals and $p$-adic Mellin transforms uniformly in $p$, with transfer principles between ...
Cluckers, Raf   +3 more
openaire   +2 more sources

Mellin transforms of power-constructible functions

open access: yesAdvances in Mathematics
We consider several systems of algebras of real- and complex-valued functions, which appear in o-minimal geometry and related geometrically tame contexts. For each such system, we prove its stability under parametric integration and we study the asymptotics of the functions as well as the nature of their parametric Mellin transforms.
Cluckers, Raf   +3 more
openaire   +6 more sources

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