A Finite Analogue Of Fine's Function $F(a,b;t)$

Ritika Goel

We initiate a systematic development of $F_N(a,b;t)$, a finite analogue of Fine's function $F(a,b;t)$. Our results are transformations between $F_N(a,b;t)$ and $F_N(aq^{\ell}…