Gauss' hypergeometric function

Abstract

... The Pochhammer symbol (x)n is defined by (x)0=1 and (x)n = x(x=1)...(x+n-1). The radius of convergence of (1) is 1 unless a or b is a non-positive integer, in which cases we have a polynomial. ... (Notes from an MRI course given in 1993. Note: MRI stands for MATHEMATICAL RESEARCH INSTITUTE, a Dutch research school in which several universities participate. Each year, advanced and internationally oriented courses are offered. The academic year 2002-2003 will be devoted to Computer Algebra)