New generating functions of I -function satisfying Truesdell’s \(F_{q}\) -equation

Advances in Difference Equations

article

Bhat, Altaf Ahmad¹  Tassaddiq, Asifa²  Jain, D. K.³  Naaz, Humera² 

[1] Department of Mathematical Sciences, Islamic University of Science and Technology;Department of Basic Sciences and Humanities, College of Computer and Information Sciences, Majmaah University;Madhav Institute of Technology and Science

关键词: \(F_{q}\) -equation;    Generating function;    Basic analogues of the I -function;    H -function;   

DOI  :  10.1186/s13662-020-02912-6

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper we first obtain various new forms of the q-analogue of the I-function satisfying Truesdell’s ascending and descending$F_{q}$ -equation. Then we use these forms to obtain new generating functions for the q-analogue of the I-function. Some particular cases of these results in terms of the q-analogue of the I-function, H-function and G-function have also been obtained.

【 授权许可】

CC BY