Theorems · Theorem · special functions
Complex.hasSum_sin
∀ (z : ℂ), HasSum (fun n => (-1) ^ n * z ^ (2 * n + 1) / ↑(2 * n + 1).factorial) (Complex.sin z)
The power series expansion of Complex.sin.
- 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.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpaceproof · cited by 24,529
- AddCommMonoidproof · cited by 12,281
- Complexstatement and proof · cited by 5,565
- mul_commproof · cited by 2,262
- SummationFilter.unconditionalstatement and proof · cited by 2,068
- mul_assocproof · cited by 1,667
- Complex.Iproof · cited by 866
- Nat.factorialstatement and proof · cited by 616
- SummationFilterproof · cited by 607
- HasSumstatement and proof · cited by 518
- pow_succproof · cited by 374
- Complex.sinstatement and proof · cited by 258
Cited by2
Results whose statement or proof uses this declaration.
- Real.hasSum_sinproof · cited by 2
- Complex.sin_eq_tsumproof · cited by 0