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Theorems · Theorem · special functions

Complex.eventually_atTop_regularizedHGFunCoeff_ne_zero

∀ {a : Multiset ℂ} (b : Multiset ℂ),
  (∀ j ∈ a, ∀ (k : ℕ), j ≠ -↑k) → ∀ᶠ (n : ℕ) in Filter.atTop, Complex.regularizedHGFunCoeff a b n ≠ 0

If for all j and k : ℕ, a j ≠ -k, then the coefficients of the hypergeometric series are eventually non-vanishing.

Defined in
Mathlib.Analysis.SpecialFunctions.RegularizedHypergeometric
Cited by
2 results in Mathlib
Foundations
Depth 288 from the axioms · uses propext, Classical.choice, Quot.sound

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