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Theorems · Definition · special functions

PeriodPair.derivWeierstrassPExcept

PeriodPair → ℂ → ℂ → ℂ

The derivative of Weierstrass function with the l₀-term missing. This is mainly a tool for calculations where one would want to omit a diverging term. This has the notation ℘'[L - l₀] in the namespace PeriodPairs.

Defined in
Mathlib.Analysis.SpecialFunctions.Elliptic.Weierstrass
Cited by
20 results in Mathlib
Foundations
Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

PeriodPair.hasSumLocallyUniformly_derivWeierstrassPExcept · cited by 4PeriodPair.hasSumLocallyU…PeriodPair.derivWeierstrassPExcept_of_notMem · cited by 3PeriodPair.derivWeierstra…PeriodPair.eqOn_deriv_weierstrassPExcept_derivWeierstrassPExcept · cited by 3PeriodPair.eqOn_deriv_wei…PeriodPair.differentiableOn_derivWeierstrassPExcept · cited by 2PeriodPair.differentiable…PeriodPair.derivWeierstrassPExcept_neg · cited by 1PeriodPair.derivWeierstra…PeriodPair.derivWeierstrassPExcept_sub · cited by 1PeriodPair.derivWeierstra…PeriodPair.deriv_weierstrassP · cited by 1PeriodPair.deriv_weierstr…PeriodPair.differentiableOn_derivWeierstrassP · cited by 1PeriodPair.differentiable…PeriodPair.hasFPowerSeriesAt_derivWeierstrassPExcept · cited by 1PeriodPair.hasFPowerSerie…PeriodPair.hasFPowerSeriesOnBall_derivWeierstrassPExcept · cited by 1PeriodPair.hasFPowerSerie…PeriodPair.hasSumLocallyUniformly_derivWeierstrassP · cited by 1PeriodPair.hasSumLocallyU…PeriodPair.hasSum_derivWeierstrassPExcept · cited by 1PeriodPair.hasSum_derivWe…PeriodPair.analyticAt_derivWeierstrassPExcept · cited by 1PeriodPair.analyticAt_der…PeriodPair.iteratedDeriv_derivWeierstrassPExcept_self · cited by 1PeriodPair.iteratedDeriv_…PeriodPair.analyticOnNhd_derivWeierstrassPExcept · cited by 1PeriodPair.analyticOnNhd_…Complex · cited by 5565ComplexSummationFilter.unconditional · cited by 2068SummationFilter.unconditi…tsum · cited by 1148tsumPeriodPair · cited by 94PeriodPairPeriodPair.lattice · cited by 82PeriodPair.latticePeriodPair.derivWeierstrassPE…CITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by20

Results whose statement or proof uses this declaration.