Subject: Handling branch cuts for hypergeometric functions
From: Barton Willis
Date: Sun, 13 Feb 2005 01:39:51 -0600
A&S chapter 8 on Legendre functions is confusing. The same
name is used for different functions--only the name of the
independent variable (x or z) is changed. (Look at the
two formulae in 8.6.6.) I don't trust A&S 15.4.7---15.4.26.
Have you considered leaving 2F1 functions as 2F1 functions and
not using any one of 15.4.7---15.4.26 as simplifications?
Barton