Integral transforms involving a generalized k-Bessel function

Ghazi S. Khammash; Tariq O. Salim; Hassen Aydi; Noor N. Khattab; Choonkil Park

doi:10.1515/dema-2022-0246

Integral transforms involving a generalized k-Bessel function

Ghazi S. Khammash, Tariq O. Salim, Hassen Aydi^*, Noor N. Khattab, Choonkil Park^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The main goal of this study was to look into some new integral transformations that are associated with a generalized k k -Bessel function. Integral formulas for the generalized k k -Bessel function have been established using the Laplace transform, Euler transform, Whittaker transform, and k k -transforms. The results presented here have the potential to be helpful, and some special cases of corollaries are explicitly demonstrated.

Original language	English
Article number	20220246
Journal	Demonstratio Mathematica
Volume	56
Issue number	1
DOIs	https://doi.org/10.1515/dema-2022-0246
Publication status	Published - 1 Jan 2023
Externally published	Yes

Keywords

generalized k-Bessel function
integral transforms
k-gamma function

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10.1515/dema-2022-0246

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AU - Khammash, Ghazi S.

AU - Salim, Tariq O.

AU - Aydi, Hassen

AU - Khattab, Noor N.

AU - Park, Choonkil

PY - 2023/1/1

Y1 - 2023/1/1

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AB - The main goal of this study was to look into some new integral transformations that are associated with a generalized k k -Bessel function. Integral formulas for the generalized k k -Bessel function have been established using the Laplace transform, Euler transform, Whittaker transform, and k k -transforms. The results presented here have the potential to be helpful, and some special cases of corollaries are explicitly demonstrated.

KW - generalized k-Bessel function

KW - integral transforms

KW - k-gamma function

UR - https://www.scopus.com/pages/publications/85180508769

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DO - 10.1515/dema-2022-0246

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JO - Demonstratio Mathematica

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Integral transforms involving a generalized k-Bessel function

Abstract

Keywords

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