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Theorems · Definition · special functions

Complex.Gamma

ℂ → ℂ

The Γ function (of a complex variable s).

Defined in
Mathlib.Analysis.SpecialFunctions.Gamma.Basic
Cited by
96 results in Mathlib
Foundations
Depth 253 from the axioms, rests on 7,989 definitions · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Real.Gamma · cited by 76Real.GammaComplex.Gammaℝ · cited by 60Complex.GammaℝComplex.Gammaℂ · cited by 18Complex.GammaℂReal.Gamma_add_one · cited by 13Real.Gamma_add_oneComplex.Gamma_add_one · cited by 12Complex.Gamma_add_oneComplex.regularizedHGFunCoeff · cited by 10Complex.regularizedHGFunC…Complex.Gamma_ofReal · cited by 9Complex.Gamma_ofRealComplex.Gamma_one · cited by 9Complex.Gamma_oneComplex.differentiableAt_Gamma · cited by 8Complex.differentiableAt_…Real.Gamma_one · cited by 7Real.Gamma_oneComplex.Gamma_zero · cited by 7Complex.Gamma_zeroComplex.digamma · cited by 6Complex.digammaComplex.Gamma_eq_integral · cited by 6Complex.Gamma_eq_integralComplex.Gamma_ne_zero · cited by 6Complex.Gamma_ne_zeroComplex.differentiable_Gammaℝ_inv · cited by 6Complex.differentiable_Ga…Complex · cited by 5565ComplexComplex.re · cited by 882Complex.reNat.floor · cited by 215Nat.floorComplex.GammaCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by101

Results whose statement or proof uses this declaration.