Domains of holomorphy of generating functions of Polya frequency sequences of finite order

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dc.creatorAlzugaray, Maria Teresa
dc.date2002-10-25
dc.date.accessioned2026-07-07T04:52:21Z
dc.date.available2026-07-07T04:52:21Z
dc.descriptionA 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) $T=dist(0,\partial G)\in \partial G$.
dc.description14 pages. To appear in Positivity
dc.identifierhttps://arxiv.org/abs/math/0210399
dc.identifierhttp://arxiv.org/abs/math/0210399
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65434
dc.subjectComplex Variables
dc.subjectClassical Analysis and ODEs
dc.subject30B10,30B40
dc.titleDomains of holomorphy of generating functions of Polya frequency sequences of finite order
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