Theorems · Theorem · special functions
Complex.hasSum_sinh
∀ (z : ℂ), HasSum (fun n => z ^ (2 * n + 1) / ↑(2 * n + 1).factorial) (Complex.sinh z)
The power series expansion of Complex.sinh.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- mul_assocproof · cited by 1,667
- neg_negproof · cited by 960
- pow_oneproof · cited by 894
- Complex.Iproof · cited by 866
- neg_mulproof · cited by 654
- Nat.factorialstatement and proof · cited by 616
- mul_negproof · cited by 590
- one_powproof · cited by 521
Cited by2
Results whose statement or proof uses this declaration.
- Real.hasSum_sinhproof · cited by 1
- Complex.sinh_eq_tsumproof · cited by 0