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NASA NTRS · 19900061987

A triangular property of the associated Legendre functions

Abstract

A mathematical formula is introduced and proved which relates the associated Legendre functions with given nonnegative integral indices. The application of this formula in simplifying the calculation of collisional electron-atom cross sections higher than the dipole is mentioned. A proof of the stated identity using the Gegenbauer polynomials and their generating function is given.

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BibTeXRIS

Fineschi, S., Landi Degl'innocenti, E.. 1990-05-01. A triangular property of the associated Legendre functions. https://ntrs.nasa.gov/citations/19900061987

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