Theorems · Theorem · special functions
Complex.GammaSeq_mul
∀ (z : ℂ) {n : ℕ},
n ≠ 0 →
z.GammaSeq n * (1 - z).GammaSeq n = ↑n / (↑n + 1 - z) * (1 / (z * ∏ j ∈ Finset.range n, (1 - z ^ 2 / (↑j + 1) ^ 2)))- Cited by
- 1 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Complexstatement and proof · cited by 5,565
- mul_oneproof · cited by 3,885
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- Nat.cast_oneproof · cited by 2,501
- Finset.prodstatement and proof · cited by 2,356
- mul_commproof · cited by 2,262
- Nat.cast_zeroproof · cited by 1,870
- add_commproof · cited by 1,535
- Finset.rangestatement and proof · cited by 1,341
- one_ne_zeroproof · cited by 885
- Finset.prod_congrproof · cited by 646
Cited by1
Results whose statement or proof uses this declaration.
- Complex.Gamma_mul_Gamma_one_subproof · cited by 3