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Theorems · Theorem · complex analysis

ValueDistribution.circleIntegrable_log_meromorphicTrailingCoeffAt

∀ {f : ℂ → ℂ}, CircleIntegrable (fun a => Real.log ‖meromorphicTrailingCoeffAt (fun x => f x - a) 0‖) 0 1

Circle integrability of the term fun a ↦ log ‖meromorphicTrailingCoeffAt (f · - a) 0‖ that appears in Cartan's formula.

Defined in
Mathlib.Analysis.Complex.ValueDistribution.Cartan
Cited by
2 results in Mathlib
Foundations
Depth 272 from the axioms · uses propext, Classical.choice, Quot.sound

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