| Resumen |
A few important integrals involving the product of two universal associated Legendre polynomials P-v(m') (x), P-k'(n')(x) and x(2a) (1 - x(2))(-)p(-1), x(b) (1 +/- x)(-p-1) and x(c)(1 - x(2))(-p-1)(1 +/- x) are evaluated using the operator form of Taylor's theorem and an integral over a single universal associated Legendre polynomial. These integrals are more general since the quantum numbers are unequal, i.e. l' not equal k' and m' not equal n'. Their selection rules are also given. We also verify the correctness of those integral formulas numerically. |
