Results 1 to 10 of about 2,125,985 (294)
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 +7 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 +12 more sources
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
A Mellin Transform Approach to the Pricing of Options with Default Risk. [PDF]
Comput Econ, 2022 The stochastic elasticity of variance model introduced by Kim et al. (Appl Stoch Models Bus Ind 30(6):753–765, 2014) is a useful model for forecasting extraordinary volatility behavior which would take place in a financial crisis and high volatility of a
Choi SY, Veng S, Kim JH, Yoon JH.
europepmc +2 more sources
Celestial Mellin amplitude [PDF]
Journal of High Energy Physics, 2022 Celestial holography provides a promising avenue to studying bulk scattering in flat spacetime from the perspective of boundary celestial conformal field theory (CCFT).
Hongliang Jiang
doaj +2 more sources
The inverse Mellin transform via analytic continuation [PDF]
Journal 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 +2 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 ...
Bateman H +15 more
core +6 more sources
Fractional differential equations solved by using Mellin transform [PDF]
Communications in Nonlinear Science and Numerical Simulation,
Volume 19, Issue 7, 2014, Pages 2220-2227, 2014 In this paper, the solution of the multi-order differential equations, by using Mellin Transform, is proposed. It is shown that the problem related to the shift of the real part of the argument of the transformed function, arising when the Mellin integral operates on the fractional derivatives, may be overcame.
Butera, Salvatore, Di Paola, Mario
arxiv +3 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 +7 more
core +2 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