On basic Humbert confluent hypergeometric functions

A. Shehata; S. I. Moustafa; Praveen Agarwal; Shilpi Jain

doi:10.1016/B978-0-32-390953-2.00026-8

On basic Humbert confluent hypergeometric functions

A. Shehata
, S. I. Moustafa
, Praveen Agarwal
, Shilpi Jain

Nonlinear Dynamic Research Centre (NDRC)

Assiut University
Qassim University
International College of Engineering
People's Friendship University of Russia
Poornima College of Engineering

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

2 Scopus citations

Abstract

The main aim of the present work deals with various generalizations of q- or basic Humbert confluent hypergeometric functions and some developments formulae, believed to be new, by using the conception of q-calculus. The present paper contains a contiguous function relations, q-recurrence relations, q-derivatives formulas available in the literature. We also derive some interesting new and some particular cases for analysis of the properties.

Original language	English
Title of host publication	Fractional Order Systems and Applications in Engineering
Publisher	Elsevier
Pages	319-352
Number of pages	34
ISBN (Electronic)	9780323909532
ISBN (Print)	9780323909549
DOIs	https://doi.org/10.1016/B978-0-32-390953-2.00026-8
State	Published - 1 Jan 2022

Keywords

Basic Humbert confluent hypergeometric functions
q-Difference equations
q-Difference operators
q-calculus

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10.1016/B978-0-32-390953-2.00026-8

Cite this

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AB - The main aim of the present work deals with various generalizations of q- or basic Humbert confluent hypergeometric functions and some developments formulae, believed to be new, by using the conception of q-calculus. The present paper contains a contiguous function relations, q-recurrence relations, q-derivatives formulas available in the literature. We also derive some interesting new and some particular cases for analysis of the properties.

KW - Basic Humbert confluent hypergeometric functions

KW - q-Difference equations

KW - q-Difference operators

KW - q-calculus

UR - https://www.scopus.com/pages/publications/85150103782

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BT - Fractional Order Systems and Applications in Engineering

PB - Elsevier

ER -

On basic Humbert confluent hypergeometric functions

Abstract

Keywords

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