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Toronto Function

T(m,n,r)\equiv {\Gamma({\textstyle{1\over 2}}m+{\textstyle{1...
...\over n!r^{-2n+m-1}}\,{}_1F_1({\textstyle{1\over 2}};i+n;r^2),

where ${}_1F_1(a;b;z)$ is a Confluent Hypergeometric Function and $\Gamma(z)$ is the Gamma Function (Abramowitz and Stegun 1972).


Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 509, 1972.

© 1996-9 Eric W. Weisstein