Theorems · Theorem · special functions
PeriodPair.hasSum_weierstrassPExcept
∀ (L : PeriodPair) (l₀ z : ℂ), HasSum (fun l => if ↑l = l₀ then 0 else 1 / (z - ↑l) ^ 2 - 1 / ↑l ^ 2) (L.weierstrassPExcept l₀ z)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 210 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submodulestatement · cited by 7,192
- Complexstatement and proof · cited by 5,565
- SummationFilter.unconditionalstatement · cited by 2,068
- HasSumstatement · cited by 518
- PeriodPairstatement and proof · cited by 94
- PeriodPair.latticestatement · cited by 82
- PeriodPair.weierstrassPExceptstatement · cited by 27
- PeriodPair.hasSumLocallyUniformly_weierstrassPExceptproof · cited by 4
- HasSumLocallyUniformly.hasSumproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- PeriodPair.weierstrassPExcept_addproof · cited by 3
- PeriodPair.summable_weierstrassPExceptSummandproof · cited by 3