Theorems · Theorem · complex analysis
Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zero
∀ (a : ℂ),
HasFPowerSeriesOnBall (fun x => 1 / (1 - x) ^ a)
(FormalMultilinearSeries.ofScalars ℂ fun n => Ring.choose (a + ↑n - 1) n) 0 1- Defined in
- Mathlib.Analysis.Analytic.Binomial
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 293 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites38
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- ENNRealstatement · cited by 9,879
- Complexstatement and proof · cited by 5,565
- one_mulproof · cited by 2,841
- Units.valproof · cited by 1,966
- div_oneproof · cited by 629
- one_divproof · cited by 624
- neg_zeroproof · cited by 542
- NNRatstatement · cited by 523
- one_powproof · cited by 521
- Fintype.card_finproof · cited by 270
- Int.negOnePowproof · cited by 156
Cited by2
Results whose statement or proof uses this declaration.
- Complex.one_div_one_sub_pow_hasFPowerSeriesOnBall_zeroproof · cited by 1
- Real.one_div_one_sub_rpow_hasFPowerSeriesOnBall_zeroproof · cited by 0