Solution of a differential equation and its applications
type: Item
instance of: scholarly article
title: Solution of a differential equation and its applications
zbMATH Open document ID: 1004.30021
author: Yanyan Li
published in: Kodai Mathematical Journal
publication date: 2003-02-03T00:00:00Z
review text: The author proves that every solution of differential equation \(f^{(k)}-e^{Q(z)}f=1\) (\(k\geq 1\), Q is a nonconstant polynomial) is an entire function of infinite order. He gives some applications of this result.
Mathematics Subject Classification ID: 30D35
Mathematics Subject Classification ID: 30D20
zbMATH DE Number: 1437249
zbMATH Keywords: entire function
zbMATH Keywords: shared value
zbMATH Keywords: uniqueness theorem
Wikidata QID: Q115224544
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2996/kmj/1138044097
OpenAlex ID: W1970446586
cites work: On entire functions which share one value CM with their first derivative
cites work: Estimates for the Logarithmic Derivative of a Meromorphic Function, Plus Similar Estimates
cites work: Q5723337
cites work: Meromorphe funktionen, die mit ihrer ersten und zweiten ableitung einen endlichen wert teilen
cites work: Q4135840
cites work: The uniqueness of meromorphic functions with their derivatives
cites work: Entire functions that share one value with their derivatives
DOI: 10.2996/KMJ/1138044097
description: scientific article; zbMATH DE number 1437249