On Hankel transforms of generalized Bessel matrix polynomials

Mohamed Abdalla; Mohamed Abdalla

doi:10.3934/math.2021359

AIMS Mathematics

2021, Volume 6, Issue 6: 6122-6139. doi: 10.3934/math.2021359

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Research article

On Hankel transforms of generalized Bessel matrix polynomials

Mohamed Abdalla ^{1,2
,
,}

1.
Mathematics Department, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia
2.
Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

Received: 21 December 2020 Accepted: 29 March 2021 Published: 02 April 2021
MSC : 33C47, 44A05, 44A20

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.
- matrix Hankel transforms,
- generalized Bessel matrix polynomials,
- Bessel matrix functions
Citation: Mohamed Abdalla. On Hankel transforms of generalized Bessel matrix polynomials[J]. AIMS Mathematics, 2021, 6(6): 6122-6139. doi: 10.3934/math.2021359

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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.

References

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