Theorems · Theorem · special functions
Complex.hasSum_cosh
∀ (z : ℂ), HasSum (fun n => z ^ (2 * n) / ↑(2 * n).factorial) (Complex.cosh z)
The power series expansion of Complex.cosh.
- 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.
Cites13
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
- 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
- mul_negproof · cited by 590
- HasSumstatement and proof · cited by 518
- Complex.coshstatement · cited by 118
- Even.neg_powproof · cited by 99
- Complex.I_mul_Iproof · cited by 35
- Complex.cos_mul_Iproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Real.hasSum_coshproof · cited by 2
- Complex.cosh_eq_tsumproof · cited by 0