On Hankel transforms of generalized Bessel matrix polynomials

Abdalla, Mohamed

doi:10.3934/math.2021359

Cited by 8 publications

(7 citation statements)

References 34 publications

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“…In fact, this work is a continuation of the recent paper by Abdalla [44]. In the current manuscript, the authors introduced various Laplace integral formulas of generalized Bessel matrix polynomials with certain elementary matrix functions, Binomial matrix functions exponential function, logarithmic function, generalized hypergeometric matrix functions, and Bessel function of the first kind.…”

Section: Inverse Laplace Type Integrals Of Functionsmentioning

confidence: 93%

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

Hidan

Akel

Boulaaras

et al. 2021

Journal of Function Spaces

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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. In this article, we aim to introduce a number of Laplace and inverse Laplace integral transforms of functions involving the generalized and reverse generalized Bessel matrix polynomials. In addition, the current outcomes are yielded to more outcomes in the modern theory of integral transforms.

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Section: Inverse Laplace Type Integrals Of Functionsmentioning

confidence: 93%

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

Hidan

Akel

Boulaaras

et al. 2021

Journal of Function Spaces

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“…In the past few decades, matrix versions of the orthogonal polynomials have attracted a lot of research interest due to their close relations and various applications in many areas of mathematics, statistics, physics, and engendering, for example, see [1][2][3][4][5][6][7][8][9][10][11].…”

Section: Overturementioning

confidence: 99%

Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus

Abdalla

Boulaaras

2021

Journal of Function Spaces

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“…Recently, considerable attention has been paid to fractional integrals associated with special matrix functions and orthogonal matrix polynomials, due mainly to their usefulness and applications in various research subjects (see, e.g., [8,14,18,19,[36][37][38][39][40][41][42][43][44][45] and the references cited therein). [46] investigated the revival of the Bessel polynomials and the generalized Bessel polynomials (GBPs) whose explicit forms are given, respectively, by…”

Section: Introductionmentioning

confidence: 99%

Certain Matrix Riemann–Liouville Fractional Integrals Associated with Functions Involving Generalized Bessel Matrix Polynomials

2021

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The fractional integrals involving a number of special functions and polynomials have significant importance and applications in diverse areas of science; for example, statistics, applied mathematics, physics, and engineering. In this paper, we aim to introduce a slightly modified matrix of Riemann–Liouville fractional integrals and investigate this matrix of Riemann–Liouville fractional integrals associated with products of certain elementary functions and generalized Bessel matrix polynomials. We also consider this matrix of Riemann–Liouville fractional integrals with a matrix version of the Jacobi polynomials. Furthermore, we point out that a number of Riemann–Liouville fractional integrals associated with a variety of functions and polynomials can be presented, which are presented as problems for further investigations.

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On Hankel transforms of generalized Bessel matrix polynomials

Cited by 8 publications

References 34 publications

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

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

Analytical Properties of the Generalized Heat Matrix Polynomials Associated with Fractional Calculus

Certain Matrix Riemann–Liouville Fractional Integrals Associated with Functions Involving Generalized Bessel Matrix Polynomials

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