Theorems · Theorem · special functions
Real.Gamma_nat_add_half
∀ (k : ℕ), Real.Gamma (↑k + 1 / 2) = ↑(2 * k - 1).doubleFactorial * √Real.pi / 2 ^ k
The special-value formula Γ(k + 1/2) = (2 * k - 1)‼ * √π / (2 ^ k)) for half-integer
values of the gamma function in terms of Nat.doubleFactorial.
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- 0 results in Mathlib
- Foundations
- Depth 295 from the axioms · uses propext, Classical.choice, Quot.sound
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