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Cauchy's Cosine Integral Formula

For R[mu+nu]>1,

int_(-pi/2)^(pi/2)cos^(mu+nu-2)thetae^(itheta(mu-nu+2xi))dtheta=(piGamma(mu+nu-1))/(2^(mu+nu-2)Gamma(mu+xi)Gamma(nu-xi)),

where Gamma(z) is the gamma function.

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Cite this as:

Weisstein, Eric W. "Cauchy's Cosine Integral Formula." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CauchysCosineIntegralFormula.html

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