We consider the class of doubly infinite sequences {a k } k ∞ = −∞ whose truncated sequences {a k } n k = −n are 3-times positive in the sense of Pólya and Fekete for all n = 1, 2, ..., and a 0 ≠ 0. We obtain a characterization of this class in terms of independent parameters. We also find an estimate of the growth order of the corresponding Laurent series ∑ k= −∞ ∞ akz k .
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机译：我们考虑一类双重无限序列{ak } k ∞ =-∞，其截断序列{ak } n k =-对于所有n = 1、2，...和0 ≠0，n在Pólya和Fekete的意义上为3倍正。我们从独立参数的角度获得了此类的表征。我们还找到了相应的Laurent级数∑ k =-∞∞ akz k 的增长顺序的估计。
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