[Rafael-SOWNet]

binomial(n, k) with a k that is not whole, where n - k is a negative whole number, was left as written. Γ(n - k + 1) in the denominator has a pole there, and the evaluation gave up on the NaN it computed for it. The reciprocal gamma is 0 at a pole, so the binomial is 0, as mpmath has it and as the node's domain condition already allows.

A whole k is not taken by the new case: binomial(-3, k) for a whole k too large to multiply out is not 0, and stays as written.

	2.6.0	now
"binomial(1/2, 3/2)".ToEntity().Simplify()	binomial(1/2, 3/2)	0
"binomial(1/2, 3/2)".ToEntity().EvalNumerical()	CannotEvalException	0

Found beside #2211 while measuring evaluation for #2195's compiled forms; the entry is #2211's, extended.

Tests: AtAPoleOfTheDenominatorItIsZero, exactly and numerically, at (1/2, 3/2), (5/2, 7/2), (1/2, 5/2) and (3/2 + i, 5/2 + i). Full suite 17929/0, interactive trio, AOT smoke 67/0, all frameworks build.

🤖 Generated with Claude Code

https://claude.ai/code/session_012sonx8iAspMiwRwokT1Ura

[codecov]

Codecov Report

❌ Patch coverage is 66.66667% with 1 line in your changes missing coverage. Please review.
✅ Project coverage is 86.57%. Comparing base (f3272dc) to head (658cfcc).

Files with missing lines	Patch %	Lines
...nuous/Evaluation.Continuous.Arithmetics.Classes.cs	66.66%	0 Missing and 1 partial ⚠️

Additional details and impacted files

@@           Coverage Diff           @@
##           master    #2212   +/-   ##
=======================================
  Coverage   86.57%   86.57%           
=======================================
  Files         302      302           
  Lines       67056    67059    +3     
  Branches    19471    19472    +1     
=======================================
+ Hits        58054    58058    +4     
+ Misses       4899     4896    -3     
- Partials     4103     4105    +2     

Flag	Coverage Δ
cpp	37.77% <ø> (ø)
csharp	87.13% <66.66%> (+<0.01%)	⬆️
fsharp	32.97% <ø> (ø)
interactive	40.72% <ø> (ø)

Flags with carried forward coverage won't be shown. Click here to find out more.

Files with missing lines	Coverage Δ
...nuous/Evaluation.Continuous.Arithmetics.Classes.cs	86.58% <66.66%> (-0.08%)	⬇️

... and 4 files with indirect coverage changes

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