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plegendre.html
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plegendre.html
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01//EN"
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<title>SHTOOLS - Legendre functions</title>
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<p class="centeredimage"><img src="../../images/logo.jpg" width=894 height=135 alt="SHTOOLS --- Tools for working with spherical harmonics"></p>
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<PRE>
<!-- Manpage converted by man2html 3.0.1 -->
<B>PLEGENDRE(1)</B> SHTOOLS 3.0 <B>PLEGENDRE(1)</B>
</PRE>
<H2 class="man">PLegendre</H2 class="man"><PRE>
PLegendre - Compute all the (unnormalized) Legendre polynomials.
</PRE>
<H2 class="man">SYNOPSIS</H2 class="man"><PRE>
SUBROUTINE PLegendre ( P, LMAX, Z )
REAL*8 P(LMAX+1), Z
INTEGER LMAX
</PRE>
<H2 class="man">DESCRIPTION</H2 class="man"><PRE>
<B>PLegendre</B> will calculate all of the (unnormalized) Legendre polynomials
up to degree LMAX for a given argument. These are calculated using a
standard three-term recursion formula. The integral of the Legendre
polynomials over the interval [-1, 1] is 2/(2L+1).
</PRE>
<H2 class="man">ARGUMENTS</H2 class="man"><PRE>
P (output) REAL*8, DIMENSION (LMAX+1)
An array of (unnormalized) Legendre polynomials up to degree
LMAX. Degree L corresponds to array index L+1.
LMAX (input) INTEGER
The maximum degree of the Legendre polynomials to be
computed.
Z (input) REAL*8
The argument of the Legendre polynomial.
</PRE>
<H2 class="man">SEE ALSO</H2 class="man"><PRE>
<B>plbar(1)</B>, <B>plbar_d1(1)</B>, <B>plmbar(1)</B>, <B>plmbar_d1(1)</B>, <B>plon(1)</B>, <B>plon_d1(1)</B>,
<B>plmon(1)</B>, <B>plmon_d1(1)</B>, <B>plschmidt(1)</B>, <B>plschmidt_d1(1)</B>, <B>plmschmidt(1)</B>,
<B>plmschmidt_d1(1)</B>, <B>plegendre_d1(1)</B>, <B>plegendrea(1)</B>, <B>plegendrea_d1(1)</B>
<http://shtools.ipgp.fr/>
</PRE>
<H2 class="man">COPYRIGHT AND LICENSE</H2 class="man"><PRE>
Copyright 2012 by Mark Wieczorek <wieczor@ipgp.fr>.
This is free software; you can distribute and modify it under the terms
of the revised BSD license.
SHTOOLS 3.0 2014-09-12 <B>PLEGENDRE(1)</B>
</PRE>
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> <a href="../../../index.html" class="dir">Home</a> > <a href="../../documentation.html" class="dir">Documentation</a> > <a href="../../legendre.html" class="dir">Legendre Functions</a></p>
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<td class="c1"><a href="http://www.ipgp.fr/">Institut de Physique du Globe de Paris</a></td>
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<td class="c3">© 2015 <a href="http://www.ipgp.fr/~wieczor">Mark Wieczorek</a></td>
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