A Simple Proof of Ramanujan's Summation of the sub 1psi sub 1.

摘要

A simple proof by functional equations is given for Ramanujan's sub 1 psi sub 1 sum. Ramanujan's sum is a useful extension of Jacobi's triple product formula, and has recently become important in the treatment of certain orthogonal polynomials defined by basic hypergeometric series. (Author)