Hypergeometric Identities Related to Roberts Reductions of Hyperelliptic Integrals
Hypergeometric Identities Related to Roberts Reductions of Hyperelliptic Integrals
Abstract In this article starting from some reductions of hyperelliptic integrals of genus 3 into elliptic integrals, due to Michael Roberts (A Tract on the addition of Elliptic and hyperelliptic integrals, Hodger, Foster and Co, 1871) we obtain several identities which, to the best of our knowledge, are all new. …