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Available Orthogonal Polynomial Functions
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Orthogonal Polynomials
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LEGENDRE(X,N)
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compute the Legendre polynomial of order n
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LEGENDRE(X,N,M)
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compute the associated Legendre polynomial of order n and degree m
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NRMLEG(X,N)
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compute the normalized Legendre polynomial of order n
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NRMLEG(X,N,M)
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compute the associated normalized Legendre polynomial of
order n and degree m
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LEGP(X,N)
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compute the Legendre function of the first kind of order n
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LEGP(X,N,M)
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compute the associated Legendre function of the first kind of
order n and degree m
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LEGQ(X,N)
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compute the Legendre function of the second kind of order n
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LEGQ(X,N,M)
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compute the associated Legendre function of the second
kind of order n and degree m
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SPHRHRMR(X,P,N,M)
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compute the real component of the spherical harmonic
function
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SPHRHRMC(X,P,N,M)
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compute the complex component of the spherical harmonic
function
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LAGUERRE(X,N)
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compoute the Laguerre polynomial of order n
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LAGUERRL(X,N,A)
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compute the generalized Laguerre polynomial of order n
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NRMLAG(X,N)
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compute the normalized Laguerre polynomial of order n
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CHEBT(X,N)
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compute the Chebyshev T (first kind) polynomial of order n
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CHEBU(X,N)
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compute the Chebyshev U (second kind) polynomial of order n
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JACOBIP(X,N,A,B)
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compute the Jacobi polynomial of order n
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ULTRASPH(X,N,A)
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compute the Ultraspherical (or Gegenbauer) polynomial of
order n
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HERMITE(X,N)
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compute the Hermite polynomial of order n
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