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7
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Accepted
Legendre Polynomial Integral
The integral $$\int\limits_0^1 x^k P_m(x)P_n(x)dx$$ is evaluated in terms of the hypergeometric function $_3F_2$ in http://link.springer.com/article/10.1007/BF01650571 (Some integrals containing produ …
1
vote
Integrals involving associated legendre polynomials
The first integral can be evaluated by using formulas (13) and (8) from http://www.sciencedirect.com/science/article/pii/S0893965998001803 (A generalized formula for the integral of three associated L …