Toronto function

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

$T(m,n,r)=r^{2n-m%2B1}e^{-r^2}\frac{\Gamma(\frac 1{2}m%2B\frac 1{2})}{\Gamma(n%2B1)}{}_1F_1({\textstyle\frac 1{2}}m%2B{\textstyle\frac 1{2}};n%2B1;r^2).$

References

Heatley, A. H. (1943), "A short table of the Toronto function", Trans. Roy. Soc. Canada Sect. III. 37: 13–29, MR 0010055