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

Ritika Goel

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arXiv · 2207.00765

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

Ritika Goel

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Abstract

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 $F_N(aq^{\ell}, bq^{m}; tq^{n})$, where $\ell,m$ and $n$ take the values $0$ or $1$.

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Ritika Goel. 2022-07-02. A Finite Analogue Of Fine's Function $F(a,b;t)$. https://arxiv.org/abs/2207.00765

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