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

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We study the possible growth of $PF_r$ g.f.'s analytic in the unit disk and describe the proximate orders of growth of these functions. Some classical function theory results concerning orders of growth are generalized to the case of proximate orders.
26 pages, to appear in Computational Methods and Function Theory

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Complex Variables, 30B10,30B40,30D99

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http://salesiana.dossiersoluciones.com/handle/123456789/65456

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0210429
 http://arxiv.org/abs/math/0210429

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arXiv