Relative growth order of entire functions
type: Item
instance of: scholarly article
title: Relative growth order of entire functions
zbMATH Open document ID: 0713.30030
published in: Collectanea Mathematica
publication date: 1988-01-01T00:00:00Z
review text: The author proposes a generalization from the order of an entire function to an order of one function with respect to another. Let F denote the maximum modulus of f. Then \(\rho\) (f) (relative to g) is defined as the infimum of positive numbers \(\mu\) for which \(F(r)<G(r^{\mu})\) for all r greater than some positive \(r_ 0\). The author investigates the behavior of this order with respect to elementary operations, the Nevanlinna characteristic, and Taylor coefficients.
Mathematics Subject Classification ID: 30D20
Mathematics Subject Classification ID: 30D15
zbMATH DE Number: 4173337
author: L. Bernal-González
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4173337