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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 Wikipediatwice.
Probably 4 usages of Gamma_mul_Gamma_add_half.
Complex.Gamma (s - 1/2) = Complex.Gamma (s + 1/2) ↔ s = 3/2 ∨ ∃ n : ℕ, s = -n - 1/2Mentioned on Wikipedia.
Follows easily from
Complex.Gamma_mul_Gamma_add_halftwice andComplex.Gamma_add_oneandComplex.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.