Certain fractional integrals and image formulas of generalized k-Bessel function

Praveen Agarwal; Mehar Chand; Junesang Choi; Gurmej Singh

doi:10.4134/CKMS.c170056

Certain fractional integrals and image formulas of generalized k-Bessel function

Praveen Agarwal
, Mehar Chand
, Junesang Choi
, Gurmej Singh

International College of Engineering
Guru Kashi University
Dongguk University
Mata Sahib Kaur Girls College
Singhania University

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

18 Scopus citations

Abstract

We aim to establish certain Saigo hypergeometric fractional integral formulas for a finite product of the generalized k-Bessel functions, which are also used to present image formulas of several integral transforms including beta transform, Laplace transform, and Whittaker transform. The results presented here are potentially useful, and, being very general, can yield a large number of special cases, only two of which are explicitly demonstrated.

Original language	English
Pages (from-to)	423-436
Number of pages	14
Journal	Communications of the Korean Mathematical Society
Volume	33
Issue number	2
DOIs	https://doi.org/10.4134/CKMS.c170056
State	Published - 2018
Externally published	Yes

Keywords

Beta transform
Fox-Wright function
Generalized k-Bessel function
K-gamma function
Laplace transform
Saigo hypergeometric fractional integral operators
Whittaker transform
k-Pochhammer symbol

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10.4134/CKMS.c170056

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title = "Certain fractional integrals and image formulas of generalized k-Bessel function",

abstract = "We aim to establish certain Saigo hypergeometric fractional integral formulas for a finite product of the generalized k-Bessel functions, which are also used to present image formulas of several integral transforms including beta transform, Laplace transform, and Whittaker transform. The results presented here are potentially useful, and, being very general, can yield a large number of special cases, only two of which are explicitly demonstrated.",

keywords = "Beta transform, Fox-Wright function, Generalized k-Bessel function, K-gamma function, Laplace transform, Saigo hypergeometric fractional integral operators, Whittaker transform, k-Pochhammer symbol",

author = "Praveen Agarwal and Mehar Chand and Junesang Choi and Gurmej Singh",

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T1 - Certain fractional integrals and image formulas of generalized k-Bessel function

AU - Agarwal, Praveen

AU - Chand, Mehar

AU - Choi, Junesang

AU - Singh, Gurmej

PY - 2018

Y1 - 2018

N2 - We aim to establish certain Saigo hypergeometric fractional integral formulas for a finite product of the generalized k-Bessel functions, which are also used to present image formulas of several integral transforms including beta transform, Laplace transform, and Whittaker transform. The results presented here are potentially useful, and, being very general, can yield a large number of special cases, only two of which are explicitly demonstrated.

AB - We aim to establish certain Saigo hypergeometric fractional integral formulas for a finite product of the generalized k-Bessel functions, which are also used to present image formulas of several integral transforms including beta transform, Laplace transform, and Whittaker transform. The results presented here are potentially useful, and, being very general, can yield a large number of special cases, only two of which are explicitly demonstrated.

KW - Beta transform

KW - Fox-Wright function

KW - Generalized k-Bessel function

KW - K-gamma function

KW - Laplace transform

KW - Saigo hypergeometric fractional integral operators

KW - Whittaker transform

KW - k-Pochhammer symbol

UR - https://www.scopus.com/pages/publications/85045904514

U2 - 10.4134/CKMS.c170056

DO - 10.4134/CKMS.c170056

M3 - Article

AN - SCOPUS:85045904514

SN - 1225-1763

VL - 33

SP - 423

EP - 436

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 2

ER -

Certain fractional integrals and image formulas of generalized k-Bessel function

Abstract

Keywords

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