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Bateman Function


\begin{displaymath}
k_\nu(x) \equiv {e^{-x}\over \Gamma(1+{1\over 2}\nu)}U(-{\textstyle{1\over 2}}\nu,0,2x)
\end{displaymath}

for $x>0$, where $U$ is a Confluent Hypergeometric Function of the Second Kind.

See also Confluent Hypergeometric Differential Equation, Hypergeometric Function




© 1996-9 Eric W. Weisstein
1999-05-26