[Merged by Bors] - feat: Complex.tan, Complex.tanh are meromorphic

[ldct]

From AlexKontorovich/PrimeNumberTheoremAnd project

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[github-actions]

PR summary f7c1d6ebc9

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.Analysis.SpecialFunctions.Trigonometric.Meromorphic (new file)	2007

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Declarations diff

+ MeromorphicNFOn.div
+ meromorphicAt_tan
+ meromorphicAt_tanh
+ meromorphicNFOn_tan
+ meromorphicNFOn_tanh
+ meromorphic_tan
+ meromorphic_tanh

You can run this locally as follows

## summary with just the declaration names:
./scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh contains some details about this script.

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No changes to technical debt.

You can run this locally as

./scripts/reporting/technical-debt-metrics.sh pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[j-loreaux]

I agree with Monica here.

[themathqueen]

I think you need to merge master to fix the CI-error.

[j-loreaux]

Can you please also show MeromorphicNFOn for both of these? It should be straightforward since they are both quotients of analytic functions, although I think the key lemma doesn't exist yet in the right form. It would be something like:

AnalyticAt 𝕜 f x → MeromorphicNFAt 𝕜 g x → (g x ≠ 0 ∨ f x ≠ 0) → MeromorphicNFAt 𝕜 (f / g) x

This should follow from MeromorphicNFAt.inv and meromorphicNFAt_mul_iff_left plus a little but of extra work.

[j-loreaux]

Thanks!

bors merge

[mathlib-bors]

Pull request successfully merged into master.

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