Theorems · Theorem · special functions
Complex.sinh_eq_tsum
∀ (z : ℂ), Complex.sinh z = ∑' (n : ℕ), z ^ (2 * n + 1) / ↑(2 * n + 1).factorial
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- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- SummationFilter.unconditionalstatement · cited by 2,068
- tsumstatement · cited by 1,148
- Nat.factorialstatement · cited by 616
- HasSum.tsum_eqproof · cited by 150
- Complex.sinhstatement · cited by 113
- Complex.hasSum_sinhproof · cited by 2
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