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Mehler-Dirichlet Integral


 P_n(cosalpha)=(sqrt(2))/piint_0^alpha(cos[(n+1/2)phi])/(sqrt(cosphi-cosalpha))dphi,

where P_n(x) is a Legendre polynomial.


See also

Laplace's Integral, Laplace-Mehler Integral, Legendre Polynomial

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Cite this as:

Weisstein, Eric W. "Mehler-Dirichlet Integral." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Mehler-DirichletIntegral.html

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