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Kummer's Quadratic Transformation

A transformation of a Hypergeometric Function,


\begin{displaymath}
{}_2F_1\left({\alpha, \beta; 2\beta; {4z\over(1+z)^2}}\right...
...extstyle{1\over 2}}-\beta; \beta+{\textstyle{1\over 2}}; z^2).
\end{displaymath}




© 1996-9 Eric W. Weisstein
1999-05-26