Handling branch cuts for hypergeometric functions



Have you looked at the digital project, DLMF at NIST?
My expectation is that if you made asked some well-informed
questions, the project personnel would react by answering
them.  bruce.miller@nist.gov  would be a good place to start;
he has written some macsyma code.

RJf

Barton Willis wrote:

> 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
> 
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