Results 1 to 10 of about 16,180 (243)

Towards spinning Mellin amplitudes [PDF]

Nuclear Physics B, 2018
We construct the Mellin representation of four point conformal correlation function with external primary operators with arbitrary integer spacetime spins, and obtain a natural proposal for spinning Mellin amplitudes.
Hideki Kyono
exaly   +7 more sources

Note on fractional Mellin transform and applications. [PDF]

Springerplus, 2016
In this article, we define the fractional Mellin transform by using Riemann-Liouville fractional integral operator and Caputo fractional derivative of order [Formula: see text] and study some of their properties. Further, some properties are extended to fractional way for Mellin transform.
Kılıçman A, Omran M.
europepmc   +6 more sources

A Fast Mellin and Scale Transform [PDF]

EURASIP Journal on Advances in Signal Processing, 2007
A fast algorithm for the discrete-scale (and β-Mellin) transform is proposed. It performs a discrete-time discrete-scale approximation of the continuous-time transform, with subquadratic asymptotic complexity.
Davide Rocchesso, Antonio De Sena
doaj   +7 more sources

The quantum Mellin transform [PDF]

New Journal of Physics, 2006
We uncover a new type of unitary operation for quantum mechanics on the half-line which yields a transformation to ``Hyperbolic phase space''. We show that this new unitary change of basis from the position x on the half line to the Hyperbolic momentum $p_ $, transforms the wavefunction via a Mellin transform on to the critial line $s=1/2-ip_ $.
Twamley, J., Milburn, G. J.
openaire   +6 more sources

On the use of Mellin transform to a class of q-difference-differential equations [PDF]

, 2000
We explore the possibility of using the method of classical integral transforms to solve a class of $q$-difference-differential equations. The Laplace and the Mellin transform of $q$-derivatives are derived.
Choon-Lin Ho
openalex   +3 more sources

Moment analysis of hadronic vacuum polarization [PDF]

Physics Letters B, 2014
I suggest a new approach to the determination of the hadronic vacuum polarization (HVP) contribution to the anomalous magnetic moment of the muon aμHVP in lattice QCD.
Eduardo de Rafael
doaj   +7 more sources

Mellin Transforms of Whittaker Functions [PDF]

Canadian Mathematical Bulletin, 2002
AbstractIn this note we show that for an arbitrary reductive Lie group and any admissible irreducible Banach representation the Mellin transforms of Whittaker functions extend to meromorphic functions. We locate the possible poles and show that they always lie along translates of walls of Weyl chambers.
Anton Deitmar
openalex   +5 more sources

The technique of inverse Mellin transform for processes occurring in a background magnetic field [PDF]

, 2003
We develop the technique of inverse Mellin transform for processes occurring in a background magnetic field. We show by analyticity that the energy (momentum) derivatives of a field theory amplitude at the zero energy (momentum) is equal to the Mellin ...
Guey-Lin Lin
openalex   +5 more sources

The distribution of Mahler's measures of reciprocal polynomials

International Journal of Mathematics and Mathematical Sciences, 2004
We study the distribution of Mahler's measures of reciprocal polynomials with complex coefficients and bounded even degree. We discover that the distribution function associated to Mahler's measure restricted to monic reciprocal polynomials is a ...
Christopher D. Sinclair
doaj   +4 more sources

Partially Explore the Differences and Similarities between Riemann-Liouville Integral and Mellin Transform [PDF]

Fractal and Fractional, 2022
At present many researchers devote themselves to studying the relationship between continuous fractal functions and their fractional integral. But little attention is paid to the relationship between Mellin transform and fractional integral.
Zhibiao Zhou, Wei Xiao, Yongshun Liang
doaj   +2 more sources