On Hermite's Doubly Periodic Functions of the Third Kind

Abstract

In a paper published recently in this Journal [1] I gave a theorem on the construction of quasi-elliptic functions, that is, functions f(u) of a complex variable u which are meromorphic and satisfy the functional relations f(u + 2ω) = Kf(u), f(u + 2ω') = K'f(u), where K, K', ω, ω' are constants, the ratio of ω' to ω not being real.