Theorems · Theorem · special functions
Complex.Gamma_zero
Complex.Gamma 0 = 0
At 0 the Gamma function is undefined; by convention we assign it the value 0.
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 255 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement · cited by 5,565
- sub_zeroproof · cited by 938
- div_zeroproof · cited by 251
- Nat.floorproof · cited by 215
- Complex.Gammastatement · cited by 96
- Complex.GammaIntegralproof · cited by 12
- Nat.floor_oneproof · cited by 6
Cited by7
Results whose statement or proof uses this declaration.
- HurwitzZeta.hurwitzZetaEven_def_of_ne_or_neproof · cited by 4
- Complex.Gamma_neg_nat_eq_zeroproof · cited by 4
- Complex.not_continuousAt_Gamma_zeroproof · cited by 2
- Complex.GammaSeq_tendsto_Gammaproof · cited by 2
- HurwitzZeta.differentiableAt_update_of_residueproof · cited by 2
- Complex.one_div_Gamma_eq_self_mul_one_div_Gamma_add_oneproof · cited by 1
- Real.Gamma_zeroproof · cited by 1