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Theorems · Theorem · special functions

Complex.radius_regularizedHGFunSeries_eq_top_of_finite

∀ {a b : Multiset ℂ} {n : ℕ} {j : ℂ}, j ∈ a → j = -↑n → (Complex.regularizedHGFunSeries a b).radius = ⊤

If there exists j and k : ℕ, such that a j = -k, then the hypergeometric series is finite and has convergence radius .

Defined in
Mathlib.Analysis.SpecialFunctions.RegularizedHypergeometric
Cited by
4 results in Mathlib
Foundations
Depth 289 from the axioms · uses propext, Classical.choice, Quot.sound

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