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[Analysis/SpecialFunctions/Gamma/Beta] Γ(s - 1) = Γ(s + 1) iff #53

@SnirBroshi

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@SnirBroshi
  • Complex.Gamma (s - 1/2) = Complex.Gamma (s + 1/2) ↔ s = 3/2 ∨ ∃ n : ℕ, s = -n - 1/2
    Mentioned on Wikipedia.
    Follows easily from Complex.Gamma_mul_Gamma_add_half twice and Complex.Gamma_add_one and Complex.Gamma_eq_zero_iff.

  • Complex.Gamma (s - 1) = Complex.Gamma (s + 1) ↔ s ∈ { φ, ψ }
    Mentioned on Wikipedia twice.
    Probably 4 usages of Gamma_mul_Gamma_add_half.

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