New generating functions of I -function satisfying Truesdell’s F_q -equation

Advances in Difference Equations(2020)

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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.
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关键词
F_q-equation,Generating function,Basic analogues of the I-function,H-function
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