Certain pathway fractional integral formulae involving extended k-hypergeometric functions

Shilpi Jain; Praveen Agarwal; Parik Laxmi

doi:10.1016/B978-0-44-336484-6.00015-1

Certain pathway fractional integral formulae involving extended 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 primary objective of this chapter is the extension of new pathway fractional integral formulae, for extended and confluent k-hypergeometric functions. By adding certain values to the parameters, several unique conditions are also described.

Original language	English
Title of host publication	Extended Hypergeometric Functions and Orthogonal Polynomials
Publisher	Elsevier
Pages	107-121
Number of pages	15
ISBN (Electronic)	9780443364846
ISBN (Print)	9780443364853
DOIs	https://doi.org/10.1016/B978-0-44-336484-6.00015-1
State	Published - 1 Jan 2026

Keywords

Confluent k-hypergeometric function
Fractional calculus
Gauss k-hypergeometric function
Pathway fractional integral
k-beta function
k-gamma function

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10.1016/B978-0-44-336484-6.00015-1

Cite this

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keywords = "Confluent k-hypergeometric function, Fractional calculus, Gauss k-hypergeometric function, Pathway fractional integral, k-beta function, k-gamma function",

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AU - Laxmi, Parik

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KW - Fractional calculus

KW - Gauss k-hypergeometric function

KW - Pathway fractional integral

KW - k-beta function

KW - k-gamma function

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BT - Extended Hypergeometric Functions and Orthogonal Polynomials

PB - Elsevier

ER -

Certain pathway fractional integral formulae involving extended k-hypergeometric functions

Abstract

Keywords

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