Define hypergeometric functions #15966
Labels
enhancement
New feature or request
good first issue
Good for newcomers
help-wanted
The author needs attention to resolve issues
t-analysis
Analysis (normed *, calculus)
I think a fun project would be for someone to define hypergeometric functions and prove some basic properties.
Eventually we would want the generalised$${}_pF_q$$ but I think even just starting with Gauss's $${}_2F_1$$ would be a great addition and probably important enough to deserve its own definition. I can imagine developing the theory along the following lines:
Possibly most of this effort would be developing API for power series (I'm not sure just how much we have, though we do at least have some versions of the ratio test).
More ambitious goals might be:
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