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

Access to Document

10.1515/dema-2022-0246

Cite this

@article{6fda47dfcf23406ea740d70b650926f9,

title = "Integral transforms involving a generalized k-Bessel function",

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.",

keywords = "generalized k-Bessel function, integral transforms, k-gamma function",

author = "Khammash, {Ghazi S.} and Salim, {Tariq O.} and Hassen Aydi and Khattab, {Noor N.} and Choonkil Park",

note = "Publisher Copyright: {\textcopyright} 2023 the author(s), published by De Gruyter.",

year = "2023",

month = jan,

day = "1",

doi = "10.1515/dema-2022-0246",

language = "English",

volume = "56",

journal = "Demonstratio Mathematica",

issn = "0420-1213",

publisher = "De Gruyter Open Ltd.",

number = "1",

}

TY - JOUR

T1 - Integral transforms involving a generalized k-Bessel function

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

N2 - 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.

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 - http://www.scopus.com/inward/record.url?scp=85180508769&partnerID=8YFLogxK

U2 - 10.1515/dema-2022-0246

DO - 10.1515/dema-2022-0246

M3 - Article

AN - SCOPUS:85180508769

SN - 0420-1213

VL - 56

JO - Demonstratio Mathematica

JF - Demonstratio Mathematica

IS - 1

M1 - 20220246

ER -

Integral transforms involving a generalized k-Bessel function

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this