Toronto function

In mathematics, the Toronto function T(m,n,r) is a modification of the confluent hypergeometric function defined by Heatley (1943) as

$T(m,n,r)=r^{2n-m+1}e^{-r^2}\frac{\Gamma(\frac 1{2}m+\frac 1{2})}{\Gamma(n+1)}{}_1F_1({\textstyle\frac 1{2}}m+{\textstyle\frac 1{2}};n+1;r^2).$