Abstract
We find that the solution of the polar angular differential equation can be written as the universal associated Legendre polynomials.We present a popular integral formula which includes universal associated Legendre polynomials and we also evaluate some important integrals involving the product of two universal associated Legendre polynomials Pm' l' (x), Pn' k' (x) and x2a(1 - x2)-p-1, xb(1 ± x2)-p, and xc(1 - x2)-p(1 ± x)-1, where l' ≠ k' and m' ≠ n'. Their selection rules are also mentioned.
Original language | English |
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Article number | 052105 |
Journal | Journal of Mathematical Physics |
Volume | 58 |
Issue number | 5 |
DOIs | |
State | Published - 1 May 2017 |