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PLegendre
Compute all the unnormalized Legendre polynomials.
Usage
p
= pyshtools.PLegendre (lmax
, z
)
Returns
p
: float, dimension (lmax
+1)- An array of unnormalized Legendre polynomials up to degree
lmax
. Degreel
corresponds to array indexl
.
Parameters
lmax
: integer- The maximum degree of the Legendre polynomials to be computed.
z
: float- The argument of the Legendre polynomial.
Description
PLegendre
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)
.
See also
plbar
, plbar_d1
, plmbar
, plmbar_d1
, plon
, plon_d1
, plmon
, plmon_d1
, plschmidt
, plschmidt_d1
, plmschmidt
, plmschmidt_d1
, plegendre_d1
, plegendrea
, plegendrea_d1
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