Confluent hypergeometric function
= Confluent hypergeometric function
{wiki}
Confluent hypergeometric functions solve the <Kummer differential equation> $zy''+(b-z)y'-ay=0$. The regular solution is the <confluent hypergeometric function of the first kind>; a second standard solution is conventionally denoted $U(a,b,z)$. The family arises by coalescing singular points of the <Gauss hypergeometric equation>.