Numerical Evaluation: hypergeometric or assoc_legendre_p
Subject: Numerical Evaluation: hypergeometric or assoc_legendre_p
From: Barton Willis
Date: Sun, 8 Nov 2009 13:02:09 -0600
I can't find a way to do hgfred([1/3, 2/3],[5/6],27/32) --> 8/5. The best I
know is:
(%i191) load(hypergeometric)$
(%i193) hypergeometric([1/3, 2/3],[5/6],27.0/32);
(%o193) 1.6
Barton
-----maxima-bounces at math.utexas.edu wrote: -----
>To:?maxima at math.utexas.edu
>From:?John?P?Oliver?<jpoliver at ameritech.net>
>Sent?by:?maxima-bounces at math.utexas.edu
>Date:?11/07/2009?09:21PM
>Subject:?[Maxima]?Numerical?Evaluation:?hypergeometric?or?assoc_legendre_p
>
>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
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