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Should be doing regularised _2F1

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#34 1 comment 0 reactions 0 assignees View on GitHub

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Assessment

Difficulty
5/5
Estimated time
Over a week
Newbie friendliness
35/100
Issue type
Feature
Clarity
Mostly clear
Activity status
Stale
Tech stack
julia
Domain
tooling

Research direction

Start with the issue's references to DLMF §15.2 and Mathematica's Hypergeometric2F1Regularized to understand the requested mathematical behavior. Trace the existing _₂F₁ implementation and its handling of negative-integer c values. Done means the regularized variant is computed and the ordinary function is defined through gamma(c) times that variant, with behavior checked around those c values.

Written by the indexing model from the issue text.

Description

_2F1 sucks compared to regularised _2F1 (bold F in https://dlmf.nist.gov/15.2 or Hypergeometric2F1Regularized in mathematica), as the regularised variant avoids the artificial polls at negative integers for c. We really should compute the regularised version and then define

_₂F₁(a, b, c, z) = gamma(c)*regularized_₂F₁(a, b, c, z)
Dominant language
Julia
Stars
76
Forks
12
PR merge metrics
No merged PRs in 30d

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