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Domains of Holomorphy of Generating Functions of Pólya Frequency Sequences of Finite Order*

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Abstract

A domain \(G \subset \bar {\mathbb{C}}\) is the domain of holomorphy of the generating function of a Pólya frequency sequence of order r if and only if it satisfies the following conditions: (A) G contains the point z = 0, (B) G is symmetric with respect to the real axis, (C) T = dist(0,∂G)ε∂G.

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Authors and Affiliations

  1. Universidade do Algarve, Portugal

    Maria Teresa Alzugaray

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  1. Maria Teresa Alzugaray
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Alzugaray, M.T. Domains of Holomorphy of Generating Functions of Pólya Frequency Sequences of Finite Order* . Positivity 8, 89–100 (2004). https://doi.org/10.1023/B:POST.0000023234.55851.68

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  • DOI: https://doi.org/10.1023/B:POST.0000023234.55851.68

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