An entire function that shares a small function with a homogeneous differential polynomial
type: Item
instance of: scholarly article
title: An entire function that shares a small function with a homogeneous differential polynomial
zbMATH Open document ID: 1460.30011
DOI: 10.3103/S1068362317030050
author: Indrajit Lahiri
author: B. Pal
published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
publication date: 2017-08-25T00:00:00Z
review text: Let \(f\) and \(g\) be two meromorphic functions in the open complex plane \(\mathbb C\). For \(a \in \mathbb C \cup \{\infty\}\), we say that \(f\) and \(g\) share the value \(a\) \(\mathcal{CM}\) (counting multiplicities) if and only if \(f-a\) and \(g-a\) have the same set of zeros with the same multiplicities, where by a zero of \(f-\infty\) we mean a pole of \(f\). In the paper the authors consider the problem of sharing a small function by an entire function and a homogeneous differential polynomial generated by the function.
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 6764592
zbMATH Keywords: entire functions
zbMATH Keywords: sharing values
zbMATH Keywords: differential polynomial
reviewed by: Agnieszka Wisniowska-Wajnryb
MaRDI profile type: Publication
cites work: On entire functions which share one small function CM with their \(k\)th derivative
cites work: On entire functions which share one value CM with their first derivative
cites work: Q5723337
cites work: On the growth of a meromorphic function and its derivatives
cites work: Q4135840
full work available at URL: s1068362317030050
OpenAlex ID: W2749453142
description: scientific article; zbMATH DE number 6764592