A Generalised Hypergeometric Function

The hypergeometric function 1 F(a, b; c; z) is analytic in the domain |arg(−z)| < π, and, when |z| < 1, may be represented by the series When |z| = 1 in the domain |arg(−z)| <π, this series converges 2 to F(a; b; c; z) if R(a+b−c) < 0 (integral values of a, b and c are excluded in the present paper)... View More