Legendre function

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Legendre function

[lə′zhän·drə ‚fəŋk·shən]
(mathematics)
Any solution of the Legendre equation.
References in periodicals archive ?
2l+1](r), as a product with associated Legendre functions of the first kind [11], generally denoted [Pl.
In this paper we present, with a pedagogical aim, a method to calculate the associated Legendre functions and polynomials.
In this paper we present a suitable algorithm to compute the associated Legendre functions [P.
The computation of the associated Legendre functions [P.
31 Olver FWJ, and Smith JM, Associated Legendre functions on the cut, Journal of computational Physics, 1983; 51, 502-518.
8] Segura J, and Gil A, Evaluation of Associated Legendre functions off the cut and parabolic cylinder functions, Electronic transactions on numerical Analysis 1999; 9.
m] denotes the associated Legendre functions, defined by
Exploiting the parity of the associated Legendre functions, we can transform the above matrix by elementary row operations into [C.
spherical filter, spherical Fourier transform, spherical harmonics, associated Legendre functions, fast discrete transforms, fast Fourier transform at nonequispaced knots, wavelets, fast discrete summation.
The normalised associated Legendre functions are given by (2.
k]', the derivatives of the normalised associated Legendre functions.

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