Results 91 to 100 of about 2,125,985 (294)

Superstring Amplitudes as a Mellin Transform of Supergravity [PDF]

open access: yes, 2013
At the tree level, the maximally helicity violating amplitudes of N gauge bosons in open superstring theory and of N gravitons in supergravity are known to have simple representations in terms of tree graphs. For superstrings, the graphs encode integral representations of certain generalized Gaussian hypergeometric functions of kinematic invariants ...
arxiv   +1 more source

The Zero Product of Toeplitz Operators on the 2‐Analytic Weighted Bergman Space

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
Two‐analytic weighted Bergman space is a nonanalytic function space which is closely related to analytic functions. In this paper, we mainly discuss the zero product problem for Toeplitz operators on the 2‐analytic weighted Bergman space.
Xia Wang   +4 more
wiley   +1 more source

Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions

open access: yesJournal of Function Spaces, Volume 2025, Issue 1, 2025.
In this paper, we introduce a new extension of the incomplete second Appell hypergeometric matrix functions (EISAHMFs) and extension of the second Appell hypergeometric matrix functions (ESAHMFs) in terms of the extended incomplete Pochhammer matrix symbols and extended Pochhammer matrix symbols, respectively.
Muneera Abdullah Qadha   +2 more
wiley   +1 more source

Mellin Transform of Weierstrass Zeta Function and Integral Representations of Some Lambert Series

open access: yesMathematics
We consider a series which combines two Dirichlet series constructed from the coefficients of a Laurent series and derive a general integral representation of the series as a Mellin transform.
Namhoon Kim
doaj   +1 more source

Extended Bessel-Maitland function and its properties pertaining to integral transforms and fractional calculus

open access: yesAIMS Mathematics, 2020
The aim of this paper is to establish an (presumably new) extension of generalized Bessel-Maitland function by using the extension of extended beta function.
D. L. Suthar   +4 more
doaj   +1 more source

From Schwartz space to Mellin transform [PDF]

open access: yesarXiv, 2022
The primary motivation behind this paper is an attempt to provide a thorough explanation of how the Mellin transform arises naturally in a process akin to the construction of the celebrated Gelfand transform. We commence with a study of a class of Schwartz functions $\mathcal{S}(\mathbb{R}_+),$ where $\mathbb{R}_+$ is the set of all positive real ...
arxiv  

α-Mellin Transform and One of Its Applications [PDF]

open access: yes, 2012
MSC 2010: 35R11, 44A10, 44A20, 26A33, 33C45We consider a generalization of the classical Mellin transformation, called α-Mellin transformation, with an arbitrary (fractional) parameter α > 0. Here we continue the presentation from the paper [5], where we
Nikolova, Yanka
core  

Multi‐image encryption and authentication using computational ghost imaging and singular value decomposition

open access: yesIET Image Processing, Volume 18, Issue 13, Page 3878-3891, 13 November 2024.
This article proposes a coding encryption and authentication scheme for multi‐image information of computational ghost imaging using wavelet transform and singular value decomposition. Using ADMM optimization algorithm to reconstruct, the original image can be recovered with high quality even under low sampling rate.
Hong Huang, ZhiGuang Han
wiley   +1 more source

A Note on Mellin Transform and Distributions [PDF]

open access: yesMathematical and Computational Applications, 2004
Mellin Transform occurs in many branches of Applied Mathematics and Engineering. The Mellin transform is very much related to the Laplace and Fourier transforms and the theory for the ordinary functions is well established. In the distributional sense, first it was studied by Zemanian in [2].
openaire   +2 more sources

Tubings, chord diagrams, and Dyson–Schwinger equations

open access: yesJournal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract We give series solutions to single insertion place propagator‐type systems of Dyson–Schwinger equations using binary tubings of rooted trees. These solutions are combinatorially transparent in the sense that each tubing has a straightforward contribution.
Paul‐Hermann Balduf   +5 more
wiley   +1 more source

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