Poisson Integral

Author

Eric W. Weisstein
January 6, 2006

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Calculus/PoissonIntegral.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/PoissonIntegral.html.

©2006 Wolfram Research, Inc. except for portions noted otherwise

Bessel

Assuming[z>0&&Re[n]>-1/2,Simplify[(((((1/2)z))^n)/(Gamma[n+(1/2)]Gamma[(1/2)]))Integrate[Cos[z Cos[θ]]((Sin[θ])^(2n)),{θ,0,π}]]]