A finite analogue of fine's function F(a,b;t)

Goel, RitikaRitikaGoel2025-08-282025-08-282022-07-01http://arxiv.org/abs/2207.00765https://d8.irins.org/handle/IITG2025/20133We 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.en-USFinite analogueQ-seriesPartition functionPartial fractionRogers-Fine identityA finite analogue of fine's function F(a,b;t)e-Printe-Print123456789/555