Theorems · Definition · special functions
ordinaryHypergeometricSeries
{𝕂 : Type u_1} →
(𝔸 : Type u_2) →
[inst : Field 𝕂] →
[inst_1 : Ring 𝔸] →
[inst_2 : Algebra 𝕂 𝔸] →
[inst_3 : TopologicalSpace 𝔸] → [inst_4 : IsTopologicalRing 𝔸] → 𝕂 → 𝕂 → 𝕂 → FormalMultilinearSeries 𝕂 𝔸 𝔸ordinaryHypergeometricSeries 𝔸 (a b c : 𝕂) is a FormalMultilinearSeries.
Its sum is the ordinaryHypergeometric map.
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- Fieldstatement and proof · cited by 7,404
- FormalMultilinearSeriesstatement · cited by 615
- IsTopologicalRingstatement and proof · cited by 402
- FormalMultilinearSeries.ofScalarsproof · cited by 68
- ordinaryHypergeometricCoefficientproof · cited by 7
Cited by18
Results whose statement or proof uses this declaration.
- ordinaryHypergeometricproof · cited by 4
- ordinaryHypergeometricSeries_eq_zero_of_neg_natstatement · cited by 3
- ordinaryHypergeometric_radius_top_of_neg_nat₁statement and proof · cited by 2
- binomialSeries_eq_ordinaryHypergeometricSeriesstatement · cited by 2
- ordinaryHypergeometricSeries_apply_eqstatement · cited by 1
- ordinaryHypergeometricSeries_apply_zerostatement · cited by 1
- ordinaryHypergeometricSeries_radius_eq_onestatement and proof · cited by 1
- ordinaryHypergeometricSeries_symmstatement · cited by 1
- ordinaryHypergeometric_sum_eqstatement · cited by 1
- binomialSeries_radius_eq_oneproof · cited by 1
- binomialSeries_radius_eq_top_of_natproof · cited by 1
- Complex.Gamma_inv_mul_ordinaryHypergeometricSeries_eqstatement and proof · cited by 1