normalized

Routine name Description
PlmBar Compute all the 4π-normalized associated Legendre functions.
PlmBar_d1 Compute all the 4π-normalized associated Legendre functions and first derivatives.
PlBar Compute all the 4π-normalized Legendre polynomials.
PlBar_d1 Compute all the 4π-normalized Legendre Polynomials and first derivatives.

Orthonormalized

Routine name Description
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 semi-normalized

Routine name Description
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

Routine name Description
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.

Utilities

Routine name Description
PlmIndex Compute the index of an array of Legendre functions corresponding to degree l and angular order m.
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