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Sonine's Integral

J_m(x)=(2x^(m-n))/(2^(m-n)Gamma(m-n))int_0^1J_n(xt)t^(n+1)(1-t^2)^(m-n-1)dt,

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

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Cite this as:

Weisstein, Eric W. "Sonine's Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SoninesIntegral.html

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