Abel-Rothe type generalizations of Jacobi's triple product identity
Michael J. Schlosser
Abstract
Using a simple classical method we derive bilateral series identities from terminating ones. In particular, we show how to deduce Ramanujan's 1-psi-1 summation from the q-Pfaff-Saalschuetz 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.
Create a lesson
Related papers
Fractional colorings of Kr-free graphs with local demands
Ewan Davies, Abhishek Dhawan, Abhishek Methuku et al.
Short permutation pattern waves: The complete length-five classification
Lihong Qiu, Minglei Mao, Yaping Mao
Automatic partition identities
Laurent Bartholdi
Well-Covered Powers: Cartesian Products and Cayley Graphs
Haobo Ma, Thanh Vu, Wenlin Zhang
Lemmas and Conjectures in Spectral Graph Theory
Tristan Cazenave
On the lower- and upper bounds of three-colored anti-Ramsey numbers
Máté Giesz