Theorems · Definition · special functions
PeriodPair.weierstrassPExceptSummand
(L : PeriodPair) → ℂ → ℂ → ℕ → ↥L.lattice → ℂ
In the power series expansion of ℘(z) = ∑ aᵢ (z - x)ⁱ at some x ∉ L,
each aᵢ can be written as an infinite sum over l ∈ L.
This is the summand of this infinite sum with the l₀-th term omitted.
See PeriodPair.coeff_weierstrassPExceptSeries.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- PeriodPairstatement and proof · cited by 94
- PeriodPair.latticestatement and proof · cited by 82
Cited by5
Results whose statement or proof uses this declaration.
- PeriodPair.summable_weierstrassPExceptSummandstatement and proof · cited by 3
- PeriodPair.coeff_weierstrassPExceptSeriesstatement · cited by 3
- PeriodPair.weierstrassPExceptSummand_of_notMemstatement · cited by 2
- PeriodPair.weierstrassPExcept_eq_tsumproof · cited by 1
- PeriodPair.coeff_weierstrassPSeriesproof · cited by 0