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From: | Patrick Alken |
Subject: | Re: [Help-gsl] sign in gsl_sf_legendre_Plm / gsl_sf_legendre_sphPlm |
Date: | Wed, 29 Oct 2014 13:42:22 -0600 |
User-agent: | Mozilla/5.0 (X11; Linux i686 on x86_64; rv:31.0) Gecko/20100101 Thunderbird/31.2.0 |
On 10/29/2014 12:33 PM, Denis Davydov wrote:
As stated in the documentation, GSL follows Abramowitz and Stegun, and you can see from eq 8.6.6 of their book that the (-1)^m factor is included in the definition, so P11 = -sin(theta)Dear all, I am trying to use the associated Legendre polynomials, but I am confused about the sign. I would expect P_1^1(cos(phi)) = sin(phi) > 0 and therefore to have the normalised polynomial also positive. However, it seems that there is a (-1)^m multiplier compared to the expression I see in several books. Could someone please clarify this issue for me? Kind regards, Denis
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