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PlON
Compute all the orthonormalized Legendre polynomials.
Usage
call PlON (p
, lmax
, z
, exitstatus
)
Parameters
p
: output, real*8, dimension (lmax
+1)- An array of orthonormalized Legendre polynomials up to degree
lmax
. Degreel
corresponds to array indexl+1
. lmax
: input, integer- The maximum degree of the Legendre polynomials to be computed.
z
: input, real*8- The argument of the Legendre polynomial.
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
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