Michael J. Schlosser
Abel-Rothe type generalizations of Jacobi's triple product identity
Using a simple classical method we derive bilateral series identities
from terminating ones. In particular, we show how to deduce Ramanujan's
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.
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