## 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