Theorems · Theorem · special functions
Complex.radius_regularizedHGFunSeries_ge_one
∀ {a b : Multiset ℂ}, a.card = b.card + 1 → 1 ≤ (Complex.regularizedHGFunSeries a b).radiusIf a.card = b.card + 1, then the hypergeometric series has convergence radius greater or equal
to 1.
- Cited by
- 1 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- Complexstatement and proof · cited by 5,565
- Multisetstatement and proof · cited by 2,627
- Multiset.cardstatement and proof · cited by 375
- FormalMultilinearSeries.radiusstatement · cited by 150
- Complex.regularizedHGFunSeriesstatement · cited by 8
- Complex.radius_regularizedHGFunSeries_eq_top_of_finiteproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Complex.radius_regularizedGaussHGFunSeries_ge_oneproof · cited by 0