Finite logarithmic order meromorphic solutions of linear difference/differential-difference equations

Bibliographic Details
Title:	Finite logarithmic order meromorphic solutions of linear difference/differential-difference equations
Authors:	Abdelkader Dahmani, Benharrat Belaïdi
Source:	Mathematica Bohemica, Vol 150, Iss 1, Pp 49-70 (2025)
Publisher Information:	Institute of Mathematics of the Czech Academy of Science, 2025.
Publication Year:	2025
Collection:	LCC:Mathematics
Subject Terms:	linear difference equation, linear differential-difference equation, meromorphic function, logarithmic order, logarithmic lower order, Mathematics, QA1-939
More Details:	Firstly we study the growth of meromorphic solutions of linear difference equation of the form A_k(z)f(z+c_k)+\cdots+A_1(z)f(z+c_1)+A_0(z)f(z)=F(z), where $A_k(z),\ldots,A_0(z)$ and $F(z)$ are meromorphic functions of finite logarithmic order, $c_i$ $(i=1,\ldots,k, k\in\mathbb{N})$ are distinct nonzero complex constants. Secondly, we deal with the growth of solutions of differential-difference equation of the form \sum_{i=0}^n\sum_{j=0}^mA_{ij}(z)f^{(j)}(z+c_i)=F(z), where $A_{ij}(z)$ $(i=0,1,\ldots,n, j=0,1,\ldots,m,n, m\in\mathbb{N})$ and $F(z)$ are meromorphic functions of finite logarithmic order, $c_i$ $(i=0,\ldots,n)$ are distinct complex constants. We extend some previous results obtained by Zhou and Zheng and Biswas to the logarithmic lower order.
Document Type:	article
File Description:	electronic resource
Language:	English
ISSN:	0862-7959 2464-7136
Relation:	https://mb.math.cas.cz/full/150/1/mb150_1_3.pdf; https://doaj.org/toc/0862-7959; https://doaj.org/toc/2464-7136
DOI:	10.21136/MB.2024.0107-23
Access URL:	https://doaj.org/article/4225a03993e345c19129eba0d3c36d6e
Accession Number:	edsdoj.4225a03993e345c19129eba0d3c36d6e
Database:	Directory of Open Access Journals

More Details
ISSN:	08627959 24647136
DOI:	10.21136/MB.2024.0107-23
Published in:	Mathematica Bohemica
Language:	English