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Schläfli's Formula

For R[z]>0,

J_nu(z)=1/piint_0^(pi/2)cos(zsint-nut)dt-(sin(nupi))/piint_0^inftye^(-zsinht)e^(-nut)dt,

where J_nu(z) is a Bessel function of the first kind.

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References

Iyanaga, S. and Kawada, Y. (Eds.). Encyclopedic Dictionary of Mathematics. Cambridge, MA: MIT Press, p. 1472, 1980.

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Schläfli's Formula

Cite this as:

Weisstein, Eric W. "Schläfli's Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SchlaeflisFormula.html

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