On the proximate order of growth of generating functions of Pólya frequency sequences

DOI10.1007/BF03321001zbMath1030.30001arXivmath/0210429MaRDI QIDQ1851475

Maria Teresa Alzugaray

Publication date: 8 February 2004

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210429

zbMATH Keywords

total positivityPólya frequency sequencesgenerating function, proximate ordermultiply positive sequences

Mathematics Subject Classification ID

Production models (90B30) Power series (including lacunary series) in one complex variable (30B10) Entire and meromorphic functions of one complex variable, and related topics (30D99)

Cites Work

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• Wachstumsordnung, Koeffizientenwachstum und Nullstellendichte bei Potenzreihen mit endlichem Konvergenzkreis
• Domains of holomorphy of generating functions of Pólya frequency sequences of finite order
• On the zeros of the generating functions of multiply positive sequences and functions
• ZERO SETS OF ENTIRE GENERATING FUNCTIONS OF PÓLYA FREQUENCY SEQUENCES OF FINITE ORDER
• Associated Integral Functions and Singular Points of Power Series
• On the Generating Functions of Totally Positive Sequences
• Regularly varying functions

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