Gaurav Bhatnagar

Affiliation: University of Vienna


Title Of Talk: Heine's method and $A_n$ generalisations of Ramanujan's transformation formulas

Abstract: We apply an idea originally due to Heine, and explained by Andrews and Berndt, to study transformation formulas for $A_n$ basic hypergeometric series. As special cases we find some multiple series generalisations of transformation formulas due to Ramanujan. In many cases, our formulas are very close to Ramanujan's identities. Our work uses multivariable identities due to Gustafson and Krattenthaler (1997), Kajihara (2004), Milne (1997) and Milne and Lilly (1995).

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