Certain integral transforms for the k-hypergeometric functions

Shilpi Jain; Praveen Agarwal; Parik Laxmi

doi:10.1016/B978-0-44-336484-6.00016-3

Certain integral transforms for the k-hypergeometric functions

Shilpi Jain
, Praveen Agarwal
, Parik Laxmi

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
International College of Engineering
Poornima University

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

The aim of this chapter is to establish certain integral transforms like the k-beta transform, Laplace transform, Varma transform, Whittaker transform, and Elzaki transform involving the extended k-hypergeometric functions. When we put the particular value of parameter s2=1, we obtain all the transforms of another definition of extended k-hypergeometric functions, which are a special case of our main result.

Original language	English
Title of host publication	Extended Hypergeometric Functions and Orthogonal Polynomials
Publisher	Elsevier
Pages	123-134
Number of pages	12
ISBN (Electronic)	9780443364846
ISBN (Print)	9780443364853
DOIs	https://doi.org/10.1016/B978-0-44-336484-6.00016-3
State	Published - 1 Jan 2026

Keywords

Confluent k-hypergeometric function
Elzaki transform
Laplace transform
Varma transform
Whittaker transform
k-beta function
k-beta transform
k-gamma function
k-hypergeometric function

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10.1016/B978-0-44-336484-6.00016-3

Cite this

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N2 - The aim of this chapter is to establish certain integral transforms like the k-beta transform, Laplace transform, Varma transform, Whittaker transform, and Elzaki transform involving the extended k-hypergeometric functions. When we put the particular value of parameter s2=1, we obtain all the transforms of another definition of extended k-hypergeometric functions, which are a special case of our main result.

AB - The aim of this chapter is to establish certain integral transforms like the k-beta transform, Laplace transform, Varma transform, Whittaker transform, and Elzaki transform involving the extended k-hypergeometric functions. When we put the particular value of parameter s2=1, we obtain all the transforms of another definition of extended k-hypergeometric functions, which are a special case of our main result.

KW - Confluent k-hypergeometric function

KW - Elzaki transform

KW - Laplace transform

KW - Varma transform

KW - Whittaker transform

KW - k-beta function

KW - k-beta transform

KW - k-gamma function

KW - k-hypergeometric function

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SP - 123

EP - 134

BT - Extended Hypergeometric Functions and Orthogonal Polynomials

PB - Elsevier

ER -

Certain integral transforms for the k-hypergeometric functions

Abstract

Keywords

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