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Lipschitz's Integral

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Lipschitz's integral is given by

int_0^inftye^(-ax)J_0(bx)dx=1/(sqrt(a^2+b^2)),

where J_0(z) is the zeroth order Bessel function of the first kind.

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References

Bowman, F. Introduction to Bessel Functions. New York: Dover, p. 58, 1958.

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Lipschitz's Integral

Cite this as:

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

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