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Hankel's Integral

J_m(x)=(x^m)/(2^(m-1)sqrt(pi)Gamma(m+1/2))int_0^1cos(xt)(1-t^2)^(m-1/2)dt,

where J_m(x) is a Bessel function of the first kind and Gamma(z) is the gamma function. Hankel's integral can be derived from Sonine's integral.

See also

Poisson Integral, Sonine's Integral

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Cite this as:

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

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