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Editorial for the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms” [PDF]

Mathematics, 2023
This editorial text is a short introductory guide to the book edition of the Special Issue “Analytical and Computational Methods in Differential Equations, Special Functions, Transmutations and Integral Transforms”, which was published in the MDPI ...
Sergei Sitnik
doaj   +2 more sources

Analytic approximations of integral transforms in terms of elementary functions: application to special functions [PDF]

, 2023
This thesis focuses on the study of new analytical methods for the approximation of integral transforms and, in particular, of special functions that admit an integral representation. The importance of these functions lies in the fact that they are solutions to a great variety of functional equations that model specific physical phenomena.
Pablo Palacios
openaire   +3 more sources

Analysis of a Normalized Structure of a Complex Fractal–Fractional Integral Transform Using Special Functions [PDF]

Axioms
By using the most generalized gamma function (parametric gamma function, or p-gamma function), we present the most generalized Rabotnov function, called the p-Rabotnov function. Consequently, new fractal–fractional differential and integral operators of a complex variable in an open unit disk are defined and investigated analytically and geometrically.
Rabha W. Ibrahim, Soheil Salahshour, Ágnes Orsolya Páll-Szabó   +2 more
openaire   +3 more sources

Certain Laplace transforms of convolution type integrals involving product of two special _pF_p functions

Demonstratio Mathematica, 2018
Abstract Recently the authors obtained several Laplace transforms of convolution type integrals involving Kummer’s function 1F1 [Appl. Anal. Discrete Math., 2018, 12(1), 257-272]. In this paper, the authors aim at presenting several new and interesting Laplace transforms of convolution type integrals involving product of two special ...
Milovanović Gradimir V., Parmar Rakesh K., Rathie Arjun K.   +2 more
openaire   +4 more sources

Stankovich integral transforms of some special functions

ADYGHE INTERNATIONAL SCIENTIFIC JOURNAL
In this paper, formulas for the integral Stankovich transforms of some elementary and special functions that are important in the theory of boundary value problems of mathematical physics are obtained. To prove the obtained formulas, integral representations, or expansions in power series, of the functions to which the transforms are applied are used.
Фатима Гидовна Хуштова
openaire   +2 more sources

On Hankel transforms of generalized Bessel matrix polynomials

AIMS Mathematics, 2021
The present article deals with the evaluation of the Hankel transforms involving Bessel matrix functions in the kernel. Moreover, these transforms are associated with products of certain elementary functions and generalized Bessel matrix polynomials.
Mohamed Abdalla
doaj   +1 more source

Non-homogeneous impulsive time fractional heat conduction equation

Journal of Numerical Analysis and Approximation Theory, 2023
This article provides a concise exposition of the integral transforms and its application to singular integral equation and fractional partial differential equations.
Arman Aghili
doaj   +1 more source

On Behavior Laplace Integral Operators with Generalized Bessel Matrix Polynomials and Related Functions

Journal of Function Spaces, 2021
Recently, the applications and importance of integral transforms (or operators) with special functions and polynomials have received more attention in various fields like fractional analysis, survival analysis, physics, statistics, and engendering.
Muajebah Hidan, Mohamed Akel, Salah Mahmoud Boulaaras, Mohamed Abdalla   +3 more
doaj   +1 more source

The Integral Mittag-Leffler, Whittaker and Wright Functions

Mathematics, 2021
Integral Mittag-Leffler, Whittaker and Wright functions with integrands similar to those which already exist in mathematical literature are introduced for the first time. For particular values of parameters, they can be presented in closed-form.
Alexander Apelblat, Juan Luis González-Santander   +1 more
doaj   +1 more source

Computation of Fourier transform representations involving the generalized Bessel matrix polynomials

Advances in Difference Equations, 2021
Motivated by the recent studies and developments of the integral transforms with various special matrix functions, including the matrix orthogonal polynomials as kernels, in this article we derive the formulas for Fourier cosine and sine transforms of ...
M. Abdalla, M. Akel
doaj   +1 more source