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plbar.1
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plbar.1
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.TH "plbar" "1" "2015\-04\-06" "Fortran 95" "SHTOOLS 3.1"
.SH PlBar
.PP
Compute all the 4\-pi (geodesy) normalized Legendre polynomials.
.SH Usage
.PP
call PlBar (p, lmax, z )
.SH Parameters
.TP
.B \f[C]p\f[] : output, real/*8, dimension (\f[C]lmax\f[]+1)
An array of geodesy\-normalized Legendre polynomials up to degree
\f[C]lmax\f[].
Degree \f[C]l\f[] corresponds to array index \f[C]l+1\f[].
.RS
.RE
.TP
.B \f[C]lmax\f[] : input, integer
The maximum degree of the Legendre polynomials to be computed.
.RS
.RE
.TP
.B \f[C]z\f[] : input, real/*8
The argument of the Legendre polynomial.
.RS
.RE
.SH Description
.PP
\f[C]PlBar\f[] will calculate all of the 4\-pi (geodesy) normalized
Legendre polynomials up to degree \f[C]lmax\f[] for a given argument.
These are calculated using a standard three\-term recursion formula.
The integral of the geodesy\-normalized Legendre polynomials over the
interval [\-1, 1] is 2.
.SH See also
.PP
\f[C]plbar_d1\f[], \f[C]plmbar\f[], \f[C]plmbar_d1\f[], \f[C]plon\f[],
\f[C]plon_d1\f[], \f[C]plmon\f[], \f[C]plmon_d1\f[], \f[C]plschmidt\f[],
\f[C]plschmidt_d1\f[], \f[C]plmschmidt\f[], \f[C]plmschmidt_d1\f[],
\f[C]plegendre\f[], \f[C]plegendre_d1\f[], \f[C]plegendrea\f[],
\f[C]plegendrea_d1\f[]