Results 11 to 20 of about 596 (185)

Solution of Fractional Order Equations in the Domain of the Mellin Transform

open access: yesJournal of Nigerian Society of Physical Sciences, 2019
This paper presents the Mellin transform for the solution of the fractional order equations. The Mellin transform approach occurs in many areas of applied mathematics and technology.
Sunday Emmanuel Fadugba
doaj   +1 more source

Mellin amplitudes for 1d CFT

open access: yesJournal of High Energy Physics, 2021
We define a Mellin amplitude for CFT1 four-point functions. Its analytical properties are inferred from physical requirements on the correlator. We discuss the analytic continuation that is necessary for a fully nonperturbative definition of the Mellin ...
Lorenzo Bianchi   +3 more
doaj   +1 more source

Definition of a sensory lexicon and development of sensory wheels of eighteen monovarietal Italian white wines. [PDF]

open access: yesJ Sci Food Agric
Abstract BACKGROUND Italy harbors one of the richest grapevine biodiversities worldwide, yet the sensory identity of wines from many native cultivars remains poorly defined despite their relevance on the market at regional, national, or international levels.
Piombino P   +17 more
europepmc   +2 more sources

On Approximation by an Absolutely Convergent Integral Related to the Mellin Transform

open access: yesAxioms, 2023
In this paper, we consider the modified Mellin transform of the product of the square of the Riemann zeta function and the exponentially decreasing function, and we discuss its probabilistic and approximation properties.
Antanas Laurinčikas
doaj   +1 more source

Mellin Transform-Based Approach for Parameter Estimation of K Distribution Plus Noise

open access: yesIEEE Access, 2019
Mellin transform is a fast and robust method for parameter estimation. In this paper, the parameter estimator of K plus noise (KpN) model based on the Mellin transform is proposed.
Kuihua Huang, Chao Chen, Gui Gao
doaj   +1 more source

The quantum Mellin transform

open access: yesNew 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   +3 more sources

Mellin Transforms of Whittaker Functions [PDF]

open access: yesCanadian 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.
openaire   +3 more sources

Towards spinning Mellin amplitudes

open access: yesNuclear 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.
Heng-Yu Chen, En-Jui Kuo, Hideki Kyono
doaj   +1 more source

The inverse Mellin transform via analytic continuation

open access: yesJournal of High Energy Physics, 2023
We present a method to calculate the x-space expressions of massless or massive operator matrix elements in QCD and QED containing local composite operator insertions, depending on the discrete Mellin index N, directly, without computing the Mellin-space
A. Behring, J. Blümlein, K. Schönwald
doaj   +1 more source

Notes on flat-space limit of AdS/CFT

open access: yesJournal of High Energy Physics, 2021
Different frameworks exist to describe the flat-space limit of AdS/CFT, include momentum space, Mellin space, coordinate space, and partial-wave expansion.
Yue-Zhou Li
doaj   +1 more source

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