On order of homogeneous differential polynomials
type: Item
instance of: scholarly article
title: On order of homogeneous differential polynomials
zbMATH Open document ID: 0587.30031
author: Anand P. Singh
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: This article proves the following theorem: Let f(z) be a transcendental meromorphic function and let \(\phi\) (z) be a non-vanishing homogeneous differential polynomial such that for non-vanishing homogeneous differential polynomial such that for each term, the exponent of f(z) is \(\geq 1\). Then f(z) and \(\phi\) (z) have the same order of growth. This theorem generalizes a theorem due to \textit{L. R. Sons} [Math. Z. 111, 53- 68 (1969; Zbl 0176.372)].
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 34M99
zbMATH DE Number: 3941885
zbMATH Keywords: differential polynomial
reviewed by: Ilpo Laine
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3941885