Compute all the Schmidt-normalized Legendre polynomials.
Usage
call PlSchmidt (p, lmax, z, exitstatus)
Parameters
p: output, real(dp), dimension (lmax+1)- An array of Schmidt-normalized Legendre polynomials up to degree
lmax. Degreelcorresponds to array indexl+1. lmax: input, integer(int32)- The maximum degree of the Legendre polynomials to be computed.
z: input, real(dp)- The argument of the Legendre polynomial.
exitstatus: output, optional, integer(int32)- If present, instead of executing a STOP when an error is encountered, the variable exitstatus will be returned describing the error. 0 = No errors; 1 = Improper dimensions of input array; 2 = Improper bounds for input variable; 3 = Error allocating memory; 4 = File IO error.
Description
PlSchmidt will calculate all of the Schmidt-normalized Legendre polynomials up to degree lmax for a given argument. These are calculated using a standard three-term recursion formula. The integral of the Schmidt-normalized Legendre polynomials over the interval [-1, 1] is 2/(2l+1).
See also
plbar, plbar_d1, plmbar, plmbar_d1, plon, plon_d1, plmon, plmon_d1, plschmidt, plschmidt_d1, plmschmidt_d1, plegendre, plegendre_d1, plegendrea, plegendrea_d1
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