info prev up next book cdrom email home

Gauss-Kummer Series


\begin{displaymath}
{}_2F_1(-{\textstyle{1\over 2}}, -{\textstyle{1\over 2}}; 1;...
...{\textstyle{1\over 64}}h^4+{\textstyle{1\over 256}}h^6+\ldots,
\end{displaymath}

where ${}_2F_1(a,b;c;x)$ is a Hypergeometric Function. This can be derived using Kummer's Quadratic Transformation.




© 1996-9 Eric W. Weisstein
1999-05-25