Michael J. Schlosser

Abel-Rothe type generalizations of Jacobi's triple product identity

(14 pages)

Abstract. Using a simple classical method we derive bilateral series identities from terminating ones. In particular, we show how to deduce Ramanujan's 1ψ1 summation from the q-Pfaff-Saalschütz summation. Further, we apply the same method to our previous q-Abel-Rothe summation to obtain, for the first time, Abel-Rothe type generalizations of Jacobi's triple product identity. We also give some results for multiple series.

The following versions are available:


Back to Michael Schlosser's home page.