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On certain transformations involving partial Mock-theta functions. (English) Zbl 1081.33025

The authors establish several transformations involving partial Mock-theta functions. The motivation of this subject is based on Ramanujan’s study of Mock-theta functions of order \(3\), \(5\) and \(7\). They describe these transformations for Mock-theta functions of orders \(3\), \(5\), \(6\), \(7\) and \(10\). All transformations involve basic hypergeometric functions with several variables.

MSC:

33C70 Other hypergeometric functions and integrals in several variables
33D70 Other basic hypergeometric functions and integrals in several variables
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