LegendreQ

From: Gert Van den Eynde (gvdeynde_at_hotmail.com)
Date: 01/28/05


Date: Fri, 28 Jan 2005 10:40:38 +0100

Hi all,

The LegendreQ functions can be expressed using the following integral
(taking the Cauchy principle value if needed)

Q_l(z) = \int_{-1}^{+1} P_l(x)/(z-x) dx

Is there a similar expression for the half-range integrals (possibly
expressed using some Q_l)

\int_{-1}^{0} P_l(x)/(z-x) dx
\int_{0}^{+1} P_l(x)/(z-x) dx

Thanks for any tips,
gert