Some generating functions for I-function

Shilpi Jain; Shaher Momani; Rahul Goyal; Praveen Agarwal

doi:10.1016/B978-0-44-315423-2.00020-5

Some generating functions for I-function

Shilpi Jain
, Shaher Momani
, Rahul Goyal
, Praveen Agarwal

Nonlinear Dynamic Research Centre (NDRC)

Poornima College of Engineering
University of Jordan
International College of Engineering
International Telematic University Uninettuno

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

Abstract

Many families of generating functions have been obtained by several researchers in many distinct ways. Also generating functions play a vital role in the analysis of several important properties of the sequences which they generate. In this chapter, we derive some generating functions for the I-function. We also discuss some special cases of our main results.

Original language	English
Title of host publication	Fractional Differential Equations
Subtitle of host publication	Theoretical Aspects and Applications
Publisher	Elsevier
Pages	229-233
Number of pages	5
ISBN (Electronic)	9780443154232
ISBN (Print)	9780443154249
DOIs	https://doi.org/10.1016/B978-0-44-315423-2.00020-5
State	Published - 1 Jan 2024

Keywords

Gamma function
Generating functions
I-function
Mellin–Barnes-type contour
Pochhammer symbol

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10.1016/B978-0-44-315423-2.00020-5

Cite this

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AB - Many families of generating functions have been obtained by several researchers in many distinct ways. Also generating functions play a vital role in the analysis of several important properties of the sequences which they generate. In this chapter, we derive some generating functions for the I-function. We also discuss some special cases of our main results.

KW - Gamma function

KW - Generating functions

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KW - Mellin–Barnes-type contour

KW - Pochhammer symbol

UR - https://www.scopus.com/pages/publications/85199026698

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BT - Fractional Differential Equations

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ER -

Some generating functions for I-function

Abstract

Keywords

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