Re: LegendreP error (bug?) in Mathematica
- To: mathgroup at smc.vnet.net
- Subject: [mg58922] Re: LegendreP error (bug?) in Mathematica
- From: "symbio" <symbio at has.com>
- Date: Sun, 24 Jul 2005 01:21:45 -0400 (EDT)
- References: <dbq2o2$713$1@smc.vnet.net> <dbt3bk$sib$1@smc.vnet.net>
- Reply-to: "symbio" <symbio at sha.com>
- Sender: owner-wri-mathgroup at wolfram.com
Also, In[51]:= LegendreP[1, 1] - LegendreP[-1, 1] gives 0, when it should give 2. Becuase LegendreP[-1, 1] should equal to -1, not +1. check it out in any math book! "sashap" <pavlyk at gmail.com> wrote in message news:dbt3bk$sib$1 at smc.vnet.net... > No, it is not a bug and Mathematica returns correct result: > > http://functions.wolfram.com/HypergeometricFunctions/LegendrePGeneral/04/02/01/0002/ > > LegendreP[-n, z] == LegendreP[n- 1, z] > > LegendreP[-1,z] == LegendreP[0,z] == 1 > > Your sum does not define LegendreP. >