10 citations · 11 across the 4 of their papers we have counts for
5 papers
Summation, transformation, and expansion formulas for multibasic theta hypergeometric series
George Gasper, Michael Schlosser
After reviewing some fundamental facts from the theory of theta hypergeometric series we derive, using indefinite summation, several summation, transformation, and expansion formul…
Noncommutative extensions of Ramanujan's 1-psi-1 summation
Michael Schlosser
Using functional equations, we derive noncommutative extensions of Ramanujan's 1-psi-1 summation.
Abel-Rothe type generalizations of Jacobi's triple product identity
Michael J. Schlosser
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-Saa…
Inversion of bilateral basic hypergeometric series
Michael Schlosser
We present a new matrix inverse with applications in the theory of bilateral basic hypergeometric series. Our matrix inversion result is directly extracted from an instance of Bail…
Multilateral transformations of q-series with quotients of parameters that are nonnegative integer powers of q
Michael Schlosser
We give multidimensional generalizations of several transformation formulae for basic hypergeometric series of a specific type. Most of the upper parameters of the series differ mu…