Asymptotic expansions of Kummer hypergeometric functions with three asymptotic parameters $a$, $b$ and $z$

N. M. Temme, E. J. M. Veling

In a recent paper \cite{Temme:2021:AKH} new asymptotic expansions are given for the Kummer functions $M(a,b,z)$ and $U(a,b+1,z)$ for large positive values of $a$ and $b$, with $z$…