Banerjee, KoustavKoustavBanerjeeDixit, AtulAtulDixit2025-08-282025-08-282016-07-01http://arxiv.org/abs/1607.05651https://d8.irins.org/handle/IITG2025/20022Two new representations for Ramanujan's function ?(q) are obtained. The proof of the first one uses the three-variable reciprocity theorem due to Soon-Yi Kang and a transformation due to R.P. Agarwal while that of the second uses the four-variable reciprocity theorem due to George Andrews and a generalization of a recent transformation of Andrews, Schultz, Yee and the second author. The advantage of these representations is that they involve free complex parameters - one in the first representation, and two in the second.en-USe-Printe-Print123456789/555