On Laurent series with multiply positive coefficients

Date
2005
Authors
Zheltukhina, N. A.
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Source Title
Analysis Mathematica
Print ISSN
0133-3852
Electronic ISSN
1588-273X
Publisher
Akademiai Kiado Rt.
Volume
30
Issue
4
Pages
305 - 317
Language
English
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Abstract

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. © 2004 Akadémiai Kiadó.

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