Numerical work with sagemath 22: The Hypergeometric function

In order to follow up some work on the the last two posts I have been looking at  the capabilities of Sagemath with regard to calculating hypergeometric functions:

Fortunately sagemath can implement at number of great codes for hypergeometric functions including:

These give excellent results:

sage22fig1

sage22fig2

sage22fig3

sage22fig4

The ability to use mpmath code is very useful since it enables me to calculate a wide range of hypergeometric functions as can be seen on the reference pages. I’ll be using this over the coming posts starting with :

Exact Computation and Asymptotic Approximations of 6j Symbols:
Illustration of Their Semiclassical Limits which is in preparation.

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