Theorems · Theorem · special functions
Complex.tendsto_partialGamma
∀ {s : ℂ}, 0 < s.re → Filter.Tendsto (fun X => s.partialGamma X) Filter.atTop (nhds s.GammaIntegral)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 273 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- nhdsstatement · cited by 5,554
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- Complex.restatement and proof · cited by 882
- Filter.tendsto_idproof · cited by 180
- Complex.GammaIntegralstatement · cited by 12
- MeasureTheory.intervalIntegral_tendsto_integral_Ioiproof · cited by 10
- Complex.partialGammastatement · cited by 3
- Complex.GammaIntegral_convergentproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Complex.GammaIntegral_add_oneproof · cited by 0