Numerical Evaluation: hypergeometric or assoc_legendre_p
Subject: Numerical Evaluation: hypergeometric or assoc_legendre_p
From: John P Oliver
Date: Sat, 07 Nov 2009 21:21:00 -0600
Is there a way to numerically evaluate the assoc_legendre_p function, or
the hypergeometric function. For example, the wolfram web site
http://mathworld.wolfram.com/HypergeometricFunction.html
gives:
_2 F_1 (1/3, 2/3, 5/6, 27/32) = 8/5,
while maxima
hgfred([1/3, 2/3],[5/6],27/32) results in:
( 3^(1/4)*assoc_legendre_p(-2/3, 1/6, -11/16)*gamma(5/6) ) / 5^(1/12).
Thank you,
John