Theorems · Theorem · complex analysis
Complex.one_div_one_sub_pow_hasFPowerSeriesOnBall_zero
∀ (a : ℕ),
HasFPowerSeriesOnBall (fun x => 1 / (1 - x) ^ (a + 1))
(FormalMultilinearSeries.ofScalars ℂ fun n => ↑((a + n).choose a)) 0 1- Defined in
- Mathlib.Analysis.Analytic.Binomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 294 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpaceproof · cited by 24,529
- NormedAddCommGroupproof · cited by 15,752
- NormedSpaceproof · cited by 12,499
- Algebraproof · cited by 11,388
- ENNRealstatement and proof · cited by 9,879
- NontriviallyNormedFieldproof · cited by 8,742
- Ringproof · cited by 7,463
- Fieldproof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- Nat.cast_oneproof · cited by 2,501
- FormalMultilinearSeriesproof · cited by 615
- Nat.cast_addproof · cited by 586
Cited by1
Results whose statement or proof uses this declaration.
- Complex.one_div_sub_pow_hasFPowerSeriesOnBall_zeroproof · cited by 3