English

Elliptic functions from $F(\frac{1}{4}, \frac{3}{4} ; \frac{1}{2} ; \bullet)$

Complex Variables 2019-08-06 v1

Abstract

We reconsider the elliptic functions that are generated from the hypergeometric function F(14,34;12;)F(\tfrac{1}{4}, \tfrac{3}{4}; \tfrac{1}{2} ; \bullet) by Li-Chien Shen, presenting fresh proofs that do not require the use of theta functions.

Keywords

Cite

@article{arxiv.1908.01687,
  title  = {Elliptic functions from $F(\frac{1}{4}, \frac{3}{4} ; \frac{1}{2} ; \bullet)$},
  author = {P. L. Robinson},
  journal= {arXiv preprint arXiv:1908.01687},
  year   = {2019}
}