On quotients and differences of hypergeometric functions

Slavko Simić, Matti Vuorinen

For Gaussian hypergeometric functions $F(x)=F(a,b;c;x),$ $a,b,c>0,$ we consider the quotient $Q_F(x,y)=(F(x)+F(y))/F(z)$ and the difference $D_F(x,y)=F(x)+F(y)-F(z)$ for $0<x,…