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Introduce pFq1m for evaluation near z = 1?

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Assessment

Difficulty
5/5
Estimated time
Over a week
Newbie friendliness
25/100
Issue type
Feature
Clarity
Needs clarification
Activity status
Stale
Tech stack
julia
Domain
backend

Research direction

The issue proposes a new pFq1m evaluation path and a K1m helper for elliptic integrals near z = 1. Start by reviewing the existing hypergeometric and elliptic-integral evaluation entry points, then determine the required API, numerical behavior, branch-cut handling, and tests before implementation.

Written by the indexing model from the issue text.

Description

This would be like how log1p(z) is more relatively accurate for small argument than log(1+z). The use of 1m makes sense here with respect to the branch cut.

Then, evaluating an elliptic integral near unity, such as K(1-1/α^2) for large α could be converted to a call to some K1m(1/α^2) that calls the appropriate _₂F₁1m.

Dominant language
Julia
Stars
76
Forks
12
PR merge metrics
No merged PRs in 30d

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