4.6 Article

On Hankel transforms of generalized Bessel matrix polynomials

Journal

AIMS MATHEMATICS
Volume 6, Issue 6, Pages 6122-6139

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2021359

Keywords

matrix Hankel transforms; generalized Bessel matrix polynomials; Bessel matrix functions

Funding

  1. Deanship of Scientific Research at King Khalid University [1/3/42]

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This article focuses on the evaluation of Hankel transforms involving Bessel matrix functions in the kernel, as well as their applications in special cases. The results obtained are more general and contribute to modern integral transforms with special matrix functions.
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.

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