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In [[mathematics]], the '''Toronto function''' ''T''(''m'',''n'',''r'') is a modification of the [[confluent hypergeometric function]] defined by {{harvtxt|Heatley|1943}} as


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:<math>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).</math>


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==References==
*{{Citation | last1=Heatley | first1=A. H. | title=A short table of the Toronto function | id={{MathSciNet | id = 0010055}} | year=1943 | journal=Trans. Roy. Soc. Canada Sect. III. | volume=37 | pages=13–29}}


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[[Category:Special hypergeometric functions]]
 
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Revision as of 06:44, 21 March 2013

Template:Underlinked

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

T(m,n,r)=r2nm+1er2Γ(12m+12)Γ(n+1)1F1(12m+12;n+1;r2).

References

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