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

Abstract In this paper we first obtain various new forms of the q -analogue of the I -function satisfying Truesdell’s ascending and descending $F_{q}$ 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 resu...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2020; no. 1
Main Authors Bhat, Altaf Ahmad, Tassaddiq, Asifa, Jain, D. K., Naaz, Humera
Format Journal Article
LanguageEnglish
Published 04.09.2020
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Summary:Abstract In this paper we first obtain various new forms of the q -analogue of the I -function satisfying Truesdell’s ascending and descending $F_{q}$ 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.
ISSN:1687-1847
1687-1847
DOI:10.1186/s13662-020-02912-6