Results 71 to 80 of about 16,180 (243)

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

Qualitative Behavior of Bidimensional Rational Fuzzy Difference Equations

open access: yesAbstract and Applied Analysis, Volume 2025, Issue 1, 2025.
This paper aims to extend the research conducted by Yalçınkaya et al. on one‐dimensional dynamics, specifically, their work titled “Qualitative behavior of a higher‐order fuzzy difference equation.” The purpose of this study is to expand the analysis of fuzzy difference equations into a bidimensional framework.
Najmeddine Attia   +2 more
wiley   +1 more source

On the Mellin transforms of powers of Hardy's function. [PDF]

open access: yesHardy-Ramanujan Journal, 2010
Various properties of the Mellin transform function $$\mathcal{M}_k(s):= \int_1^{\infty} Z^k(x)x^{-s}\,dx$$ are investigated, where $$Z(t):=\zeta(\frac{1}{2}+it)\,\chi(\frac{1}{2}+it)^{-1/2},~~~~\zeta(s)=\chi(s)\zeta(1-s)$$ is Hardy's function. Connections with power moments of $|\zeta(\frac{1}{2}+it)|$ are established, and natural boundaries of ...
openaire   +5 more sources

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

Asymptotics of integrodifferential models with integrable kernels II

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2003
Nonlinear singularly perturbed Volterra integrodifferential equations with weakly singular kernels are investigated using singular perturbation methods, the Mellin transform technique, and the theory of fractional integration.
Angelina M. Bijura
doaj   +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 approach to rephasing invariants

open access: yesPhysical Review D, 2020
1+17 pages, 4 ...
Jean-François Fortin   +3 more
openaire   +3 more sources

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

FRACTIONAL CALCULUS AND LAMBERT FUNCTION I. LIOUVILLE–WEYL FRACTIONAL INTEGRAL

open access: yesActa Polytechnica, 2014
The interconnection between the Liouville–Weyl fractional integral and the Lambert function is studied. The class of modified Abel equations of the first kind is solved.
Vladimír Vojta
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

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