Theorems · Theorem · complex analysis
circleIntegrable_log_norm_factorizedRational
∀ {R : ℝ} {c : ℂ} (D : ℂ → ℤ), CircleIntegrable (∑ᶠ (u : ℂ), fun x => ↑(D u) * Real.log ‖x - u‖) c RVariant of MeromorphicOn.circleIntegrable_log_norm for factorized rational functions.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 271 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Norm.normstatement · cited by 5,413
- Real.logstatement · cited by 939
- finsumstatement · cited by 286
- CircleIntegrablestatement · cited by 86
- AnalyticOnNhd.meromorphicOnproof · cited by 13
- analyticOnNhd_constproof · cited by 11
- MeromorphicOn.circleIntegrable_log_normproof · cited by 11
- AnalyticOnNhd.subproof · cited by 6
- analyticOnNhd_idproof · cited by 5
- CircleIntegrable.const_smulproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MeromorphicOn.circleAverage_log_normproof · cited by 3