On Laurent series with multiply positive coefficients

Date

2005

Authors

Zheltukhina, N. A.

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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.

Source Title

Analysis Mathematica

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Akademiai Kiado Rt.

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Published Version (Please cite this version)

Language

English