Results 11 to 20 of about 16,055 (246)

Mellin transform of quartic products of shifted Airy functions [PDF]

, 2015
The Mellin transform of quartic products of shifted Airy functions is evaluated in a closed form. Some particular cases expressed in terms of the logarithm function and complete elliptic integrals special values are presented.Comment: Submitted to ...
Abramochkin, E. G., Razueva, E. V.
core   +2 more sources

Note on fractional Mellin transform and applications. [PDF]

Springerplus, 2016
Kılıçman A, Omran M.
europepmc   +3 more sources

The Fractional Dunkl Laplacian: Definition and Harmonization via the Mellin Transform

Mathematics, 2023
In this paper, we extend the scope of the Tate and Ormerod Lemmas to the Dunkl setting, revealing a profound interconnection that intricately links the Dunkl transform and the Mellin transform.
Fethi Bouzeffour
doaj   +1 more source

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

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   +1 more source

Celestial Mellin amplitude

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   +1 more source

An analytical solution for the Caputo type generalized fractional evolution equation

Alexandria Engineering Journal, 2022
The Caputo type generalized fractional evolution equation is studied in this paper. Since the Caputo type generalized fractional derivative is well-known for being the generalization of Caputo fractional derivatives, this article’s studies contribute to ...
Wannika Sawangtong, Panumart Sawangtong
doaj   +1 more source

Renormalization and Mellin Transforms [PDF]

, 2013
We study renormalization in a kinetic scheme using the Hopf algebraic framework, first summarizing and recovering known results in this setting. Then we give a direct combinatorial description of renormalized amplitudes in terms of Mellin transform coefficients, featuring the universal property of rooted trees H_R.
Erik Panzer, Dirk Kreimer
openaire   +3 more sources

The Mellin Transform of Logarithmic and Rational Quotient Function in terms of the Lerch Function

Journal of Mathematics, 2021
Upon reading the famous book on integral transforms volume II by Erdeyli et al., we encounter a formula which we use to derive a Mellin transform given by ∫0∞xm−1logkax/β2+x2γ+xdx, where the parameters a,k,β, and γ are general complex numbers.
Robert Reynolds, Allan Stauffer
doaj   +1 more source

New extension of beta, Gauss and confluent hypergeometric functions

Cumhuriyet Science Journal, 2021
There are many extensions and generalizations of Gamma and Beta functions in the literature. However, a new extension of the extended Beta function B_(ζ〖, α〗_1)^(α_2;〖 m〗_1,〖 m〗_2 ) (a_1,a_2 ) was introduced and presented here because of its important ...
Umar Muhammad Abubakar, Muhammad Lawan Kaurangini   +1 more
doaj   +1 more source

Integrable field theories and their CCFT duals

Journal of High Energy Physics, 2023
We compute the Mellin transforms of various two-dimensional integrable S-matrices, providing the first explicit, non-perturbative realizations of celestial CFT.
Daniel Kapec, Adam Tropper
doaj   +1 more source