We don't have any images related to Toronto function yet.
You can add one yourself here.
We don't have any YouTube videos related to Toronto function yet.
You can add one yourself here.
We don't have any PDF documents related to Toronto function yet.
You can add one yourself here.
We don't have any Books related to Toronto function yet.
You can add one yourself here.
We don't have any archived web articles related to Toronto function yet.
In mathematics, the Toronto function T(m,n,r) is a modification of the confluent hypergeometric function defined by Heatley (1943), Weisstein, as
T ( m , n , r ) = r 2 n − m + 1 e − r 2 Γ ( 1 2 m + 1 2 ) Γ ( n + 1 ) 1 F 1 ( 1 2 m + 1 2 ; n + 1 ; r 2 ) . {\displaystyle T(m,n,r)=r^{2n-m+1}e^{-r^{2}}{\frac {\Gamma ({\frac {1}{2}}m+{\frac {1}{2}})}{\Gamma (n+1)}}{}_{1}F_{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).- Heatley, A. H. (1943), "A short table of the Toronto function", Trans. Roy. Soc. Canada Sect. III., 37: 13–29, MR 0010055
- Heatley, A. H. (1964), "A short table of the Toronto function", Mathematics of Computation, 18, No.88: 361
- Heatley, A. H. (1965), "An extension of the table of the Toronto function", Mathematics of Computation, 19, No.89: 118-123
- Weisstein, E. W., "Toronto Function", From Math World - A Wolfram Web Resource