Further bibasic hypergeometric transformations and their applications (Q855421)
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scientific article; zbMATH DE number 5077887
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Further bibasic hypergeometric transformations and their applications |
scientific article; zbMATH DE number 5077887 |
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Further bibasic hypergeometric transformations and their applications (English)
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7 December 2006
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In this paper, firstly authors establish three new bibasic hypergeometric transformation formulas. They also discuss several interesting special cases of their results. Next one result obtained by \textit{U. B. Singh} [J. Math. Anal. Appl. 201, No. 1, 44--56 (1996; Zbl 0851.33012)] is generalized by using Bailey's technique. A number of new multiple series identities of the Rogers-Ramanujan type are also established with the help of this generalization.
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bibasic hypergeometric series
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Rogers--Ramanujan identities
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