Some transformations of basic hypergeometric series and their applications

Jain, V. K.

doi:10.1090/S0002-9939-1980-0553380-8

Some transformations of basic hypergeometric series and their applications
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by V. K. Jain PDF

Proc. Amer. Math. Soc. 78 (1980), 375-384 Request permission

Abstract:

Using Bailey’s transformation, relations between basic and basic bilateral hypergeometric series are obtained. Some interesting special cases, like identities of Rogers-Ramanujan type, summation theorems for particular basic bilateral hypergeometric series $_2{\psi _2}$, are also discussed.

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Some transformations of basic hypergeometric functions

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A new proof of the Rogers-Ramanujan identities

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