On certain q-expansions associated with multivariable basic hypergeometric functions of Srivastava (Q921210)

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scientific article; zbMATH DE number 4165330
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On certain q-expansions associated with multivariable basic hypergeometric functions of Srivastava
scientific article; zbMATH DE number 4165330

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    On certain q-expansions associated with multivariable basic hypergeometric functions of Srivastava (English)
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    1990
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    A pair of multivariable extensions of \textit{F. H. Jackson}'s inverse q- operators [Q. J. Math., Oxford, Ser. 13, 69-82 (1942; Zbl 0060.198)] are introduced and applied to Srivastava's basic generlized Lauricella functions. Certain most general expansions are deduced which extend Jackson's of the q-Appell functions. It is pointed out that some of the results of several authors consist of special cases of the results given here.
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