ValueDistribution.circleIntegrable_circleAverage_log_norm_sub

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

Complementary statement to proximity_top_eq_circleAverage_circleAverage, providing circle integrability of the integrand.

Defined in: Mathlib.Analysis.Complex.ValueDistribution.Proximity.IntegralPresentation
Cited by: 2 results in Mathlib
Foundations: Depth 297 from the axioms · uses propext, Classical.choice, Quot.sound

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