Theorems · Theorem · special functions
Complex.differentiable_one_div_Gamma
Differentiable ℂ fun s => (Complex.Gamma s)⁻¹
The reciprocal of the Gamma function is differentiable everywhere (including the points where Gamma itself is not).
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 285 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realproof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Nat.cast_zeroproof · cited by 1,870
- Complex.reproof · cited by 882
- DifferentiableAtproof · cited by 617
- LT.lt.not_geproof · cited by 305
- Differentiablestatement · cited by 298
- Nat.cast_succproof · cited by 99
- Complex.Gammastatement and proof · cited by 96
- differentiableAt_idproof · cited by 63
- sub_lt_iff_lt_addproof · cited by 39
- DifferentiableAt.compproof · cited by 38
Cited by4
Results whose statement or proof uses this declaration.
- Complex.differentiable_Gammaℝ_invproof · cited by 6
- Complex.Gamma_mul_Gamma_add_halfproof · cited by 2
- Complex.differentiable_Gammaℂ_invproof · cited by 1
- MeromorphicNFOn.Gammaproof · cited by 1