On Hankel transforms of generalized Bessel matrix polynomials

Abstract: 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. As applications, many useful special cases are discussed. Further, the current results are more general to the previous one. In addition to, these results are yielded to more results in the modern integral transforms with special matrix functions.

[1]  H. Srivastava,et al.  Integral transform and fractional derivative formulas involving the extended generalized hypergeometric functions and probability distributions , 2017 .

[2]  Danna Zhou,et al.  d. , 1840, Microbial pathogenesis.

[3]  Rafik Guefaifia,et al.  On Existence of Sequences of Weak Solutions of Fractional Systems with Lipschitz Nonlinearity , 2021 .

[4]  P. Gupta,et al.  Fast computation of Hankel Transform using orthonormal exponential approximation of complex kernel function , 2006 .

[5]  Computation of certain integral formulas involving generalized Wright function , 2020 .

[6]  S. Boulaaras,et al.  Further Results on the p , k − Analogue of Hypergeometric Functions Associated with F , 2021 .

[7]  Karthikeyan Rajagopal,et al.  Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method , 2021, Complex..

[8]  A. J. Durán The Hankel Transform , 1990, Handbook of Formulas and Tables for Signal Processing.

[9]  M. Abdalla Fractional operators for the Wright hypergeometric matrix functions , 2020, Advances in Differential Equations.

[10]  L. Debnath,et al.  Integral Transforms and Their Applications, Second Edition , 2006 .

[11]  Fan-Nian Kong,et al.  Hankel transform filters for dipole antenna radiation in a conductive medium , 2007 .

[12]  M. Abdalla Operational formula for the generalized Bessel matrix polynomials , 2017 .

[13]  Ahmed Ali Mohammed,et al.  Integral transforms and their applications , 2009 .

[14]  S. D. Purohit,et al.  SOME INTEGRAL TRANSFORMS INVOLVING EXTENDED GENERALIZED GAUSS HYPERGEOMETRIC FUNCTIONS , 2016 .

[15]  Vivek Sahai,et al.  Lie algebras of matrix difference differential operators and special matrix functions , 2021, Adv. Appl. Math..

[16]  I. N. Sneddon III. Finite Hankel transforms , 1946 .

[17]  Salah Mahmoud Boulaaras,et al.  On the Porous-Elastic System with Thermoelasticity of Type III and Distributed Delay: Well-Posedness and Stability , 2021 .

[18]  Salem Alkhalaf,et al.  On the System of Coupled Nondegenerate Kirchhoff Equations with Distributed Delay: Global Existence and Exponential Decay , 2021, Journal of Function Spaces.

[19]  New intregral transform with generalized Bessel–Maitland function kernel and its applications , 2020, Mathematical Methods in the Applied Sciences.

[20]  A. Bakhet,et al.  Extended Gauss Hypergeometric Matrix Functions , 2018 .

[21]  mohamed abdalla,et al.  Computation of Fourier transform representations involving the generalized Bessel matrix polynomials , 2021, Advances in Difference Equations.

[22]  M. Abdalla,et al.  Fractional Orders of the Generalized Bessel Matrix Polynomials , 2017 .

[23]  J.M.R.Méndez Pérez,et al.  A pair of generalized Hankel-Clifford transformations and their applications , 1991 .

[24]  T. Yokoyama,et al.  The Hankel transform , 2014 .

[25]  Computation of Fourier transform representations involving the generalized Bessel matrix polynomials , 2021, Advances in Difference Equations.

[26]  Nicholas J. Higham,et al.  Functions of matrices - theory and computation , 2008 .

[27]  Yuri Luchko,et al.  Some Schemata for Applications of the Integral Transforms of Mathematical Physics , 2019, Mathematics.

[28]  L. Debnath,et al.  On Hankel type integral transformations of generalized functions , 2004 .

[29]  R. Agarwal,et al.  HANKEL TRANSFORM IN BICOMPLEX SPACE AND APPLICATIONS , 2016 .

[30]  Rafik Guefaifia,et al.  On Existence of Multiplicity of Weak Solutions for a New Class of Nonlinear Fractional Boundary Value Systems via Variational Approach , 2021 .

[31]  M. Abdalla Special matrix functions: characteristics, achievements and future directions , 2018, Linear and Multilinear Algebra.

[32]  Enas M. Shehata,et al.  A general quantum Laplace transform , 2020 .