A finite analogue of fine's function F(a,b;t)
Source
arXiv
Date Issued
2022-07-01
Author(s)
Goel, Ritika
Abstract
We initiate a systematic development of FN(a,b;t), a finite analogue of Fine?s function F(a,b;t). Our results are transformations between FN(a,b;t) and FN(aq?,bqm;tqn), where?, mandntake the values 0 or 1.
Subjects
Finite analogue
Q-series
Partition function
Partial fraction
Rogers-Fine identity
