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Legendre functions

4π (geodesy) normalized

PlmBar Compute all the 4π (geodesy) normalized associated Legendre functions.
PlmBar_d1 Compute all the 4π (geodesy) normalized associated Legendre functions and first derivatives.
PlBar Compute all the 4π (geodesy) normalized Legendre polynomials.
PlBar_d1 Compute all the 4π (geodesy) normalized Legendre Polynomials and first derivatives.

Orthonormalized

PlmON Compute all the orthonormalized associated Legendre functions.
PlmON_d1 Compute all the orthonormalized associated Legendre functions and first derivatives.
PlON Compute all the orthonormalized Legendre polynomials.
PlON_d1 Compute all the orthonormalized Legendre polynomials and first derivatives.

Schmidt normalized

PlmSchmidt Compute all the Schmidt-normalized associated Legendre functions.
PlmSchmidt_d1 Compute all the Schmidt-normalized associated Legendre functions and first derivatives.
PlSchmidt Compute all the Schmidt-normalized Legendre polynomials.
PlSchmidt_d1 Compute all the Schmidt-normalized Legendre polynomials and first derivatives.

Unnormalized

PLegendreA Compute all the unnormalized associated Legendre functions.
PLegendreA_d1 Compute all the unnormalized associated Legendre functions and first derivatives.
PLegendre Compute all the unnormalized Legendre polynomials.
PLegendre_d1 Compute all the unnormalized Legendre polynomials and first derivatives.

Other

PlmIndex Compute the index of an array of Legendre functions corresponding to degree L and angular order M.

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Institut de Physique du Globe de Paris University of Sorbonne Paris Cité © 2016 SHTOOLS