: Mathematics: Legendre function

mathematical physics > special function > Legendre function

mathematical analysis > functional analysis > special function > Legendre function

Legendre function

In physical science and mathematics, the Legendre functions $P λ$ , $Q λ$ and associated Legendre functions $P μ λ$ , $Q μ λ$ , and Legendre functions of the second kind, $Q n$ , are all solutions of Legendre's differential equation. The Legendre polynomials and the associated Legendre polynomials are also solutions of the differential equation in special cases, which, by virtue of being polynomials, have a large number of additional properties, mathematical structure, and applications.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Legendre_function)

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