The overlap integral of three associated Legendre polynomials |
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| Institution: | Instituto de Ciencias Nucleares, UNAM, A. P. 70-543, Circuito Exterior, C.U. 04510 Mexico, D.F., Mexico |
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| Abstract: | A closed formula with a double sum is obtained for the overlap integral of three associated Legendre polynomials (ALPs). The result is applicable to integral involving the ALP with arbitrary degree l and order m. Special overlap integrals, including the cases m3 = m1 + m2 or |m1 – m2|, are presented. A general formula for the overlap integral of an arbitrary number of ALPs is also developed. |
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