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

[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.

[学科分类] 航空航天科学

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