On basic Humbert confluent hypergeometric functions

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. © 2023 Elsevier Inc. All rights reserved.

Authors
Shehata A. , Moustafa S.I. , Agarwal P. , Jain S.
Collection of articles
Fractional Order Systems and Applications in Engineering
Publisher
Elsevier
Language
English
Pages
319-352
Status
Published
DOI
10.1016/B978-0-32-390953-2.00026-8
Year
2022
Organizations
  • 1 Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
  • 2 Department of Mathematics, College of Science and Arts, Qassim University, Unaizah, Saudi Arabia
  • 3 Department of Mathematics, Anand International College of Engineering, Jaipur, India
  • 4 Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman, United Arab Emirates
  • 5 Peoples' Friendship University of Russia (RUDN University), Moscow, Russian Federation
  • 6 Department of Mathematics, Poornima College of Engineering, Jaipur, India
Keywords
q-calculus; q-Difference equations; q-Difference operators; Basic Humbert confluent hypergeometric functions
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