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Sonine's Integral


\begin{displaymath}
J_m(x) = {2x^{m-n}\over 2^{m-n}\Gamma(m-n)} \int^1_0 J_n(xt)t^{n+1}(1-t^2)^{m-n-1}\,dt,
\end{displaymath}

where $J_m(x)$ is a Bessel Function of the First Kind and $\Gamma(x)$ is the Gamma Function.

See also Hankel's Integral, Poisson Integral




© 1996-9 Eric W. Weisstein
1999-05-26