plon(1)

PlON

Compute all the orthonormalized Legendre polynomials.

Usage

call PlON (p, lmax, z, exitstatus)

Parameters

p : output, real(dp), dimension (lmax+1)
    An array of orthonormalized Legendre polynomials up to degree lmax. Degree l corresponds to array index l+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

PlON will calculate all of the orthonormalized Legendre polynomials up to degree lmax for a given argument. These are calculated using a standard three-term recursion formula. The integral of the orthonormalized normalized Legendre polynomials over the interval [-1, 1] is 2/(4pi).

exitstatus : output, optional, integer
    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.

See also

plbar, plbar_d1, plmbar, plmbar_d1, plon_d1, plmon, plmon_d1, plschmidt, plschmidt_d1, plmschmidt, plmschmidt_d1, plegendre, plegendre_d1, plegendrea, plegendrea_d1