Theorems · Theorem · special functions
Complex.GammaSeq_tendsto_Gamma
∀ (s : ℂ), Filter.Tendsto s.GammaSeq Filter.atTop (nhds (Complex.Gamma s))
Euler's limit formula for the complex Gamma function.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 282 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites50
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Realproof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- nhdsstatement and proof · cited by 5,554
- mul_oneproof · cited by 3,885
- Filter.Tendstostatement and proof · cited by 3,814
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- Filter.atTopstatement and proof · cited by 2,405
- zero_addproof · cited by 2,366
- Finset.prodproof · cited by 2,356
- mul_commproof · cited by 2,262
Cited by2
Results whose statement or proof uses this declaration.
- Complex.Gamma_mul_Gamma_one_subproof · cited by 3
- Real.GammaSeq_tendsto_Gammaproof · cited by 0