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math.CV2002
On the proximate order of growth of generating functions of Polya frequency sequences
Maria Teresa Alzugaray
We study the possible growth of g.f.'s analytic in the unit disk and describe the proximate orders of growth of these functions. Some classical function theory results conce…
math.CV2002
Domains of holomorphy of generating functions of Polya frequency sequences of finite order
Maria Teresa Alzugaray
A domain $G\subset \bar\mathbb C$ is the domain of holomorphy of the generating function of a Pólya frequency sequence of order if and only if it satisfies the following condit…