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On a generalization of Jacobi’s triple product identity and its applications. (English) Zbl 1062.33017

The authors establish still another generalization of Jacobi’s triple product identity and also give a generalization of Ramanujan’s theta function. Some applications and other identities involving theta functions are given.

MSC:

33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
05A30 \(q\)-calculus and related topics
33E20 Other functions defined by series and integrals
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