Toronto function

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


 * $$T(m,n,r)=r^{2n-m+1}e^{-r^2}\frac{\Gamma(\frac 1{2}m+\frac 1{2})}{\Gamma(n+1)}{}_1F_1({\textstyle\frac 1{2}}m+{\textstyle\frac 1{2}};n+1;r^2).$$
 * Later, Heatley (1964) recomputed to 12 decimals the table of the M(R)-function, and gave some corrections of the original tables. The table was also extended from x = 4 to x = 16 (Heatley, 1965). An example of the Toronto function has appeared in a study on the theory of turbulence (Heatley, 1965).