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

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• 作者：Alzugaray ; Maria Teresa
• 关键词：domain of holomorphy ; multiply positive sequence ; P&oacute ; lya frequency sequence ; total positivity
• 刊名：Positivity
• 出版年：2004
• 出版时间：2004
• 年：2004
• 卷：8
• 期：1
• 页码：89-100
• 全文大小：96 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Fourier Analysis
  Operator Theory
  Potential Theory
  Calculus of Variations and Optimal Control
  Econometrics
  
• 出版者：Birkh盲user Basel
• ISSN：1572-9281

文摘

A domain $G\backslash subset\; \{\backslash bar\{\backslash open\; \{C\}\}\}$ 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)∈∂G.