Academic Journal
View in EDS

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
FullText Text:
  Availability: 0
CustomLinks:
  – Url: https://resolver.ebsco.com/c/xy5jbn/result?sid=EBSCO:edsdoj&genre=article&issn=08627959&ISBN=&volume=150&issue=1&date=20250401&spage=49&pages=49-70&title=Mathematica Bohemica&atitle=Finite%20logarithmic%20order%20meromorphic%20solutions%20of%20linear%20difference%2Fdifferential-difference%20equations&aulast=Abdelkader%20Dahmani&id=DOI:10.21136/MB.2024.0107-23
    Name: Full Text Finder (for New FTF UI) (s8985755)
    Category: fullText
    Text: Find It @ SCU Libraries
    MouseOverText: Find It @ SCU Libraries
  – Url: https://doaj.org/article/4225a03993e345c19129eba0d3c36d6e
    Name: EDS - DOAJ (s8985755)
    Category: fullText
    Text: View record from DOAJ
    MouseOverText: View record from DOAJ
Header DbId: edsdoj
DbLabel: Directory of Open Access Journals
An: edsdoj.4225a03993e345c19129eba0d3c36d6e
RelevancyScore: 1069
AccessLevel: 3
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 1068.9912109375
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Finite logarithmic order meromorphic solutions of linear difference/differential-difference equations
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Abdelkader+Dahmani%22">Abdelkader Dahmani</searchLink><br /><searchLink fieldCode="AR" term="%22Benharrat+Belaïdi%22">Benharrat Belaïdi</searchLink>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: Mathematica Bohemica, Vol 150, Iss 1, Pp 49-70 (2025)
– Name: Publisher
  Label: Publisher Information
  Group: PubInfo
  Data: Institute of Mathematics of the Czech Academy of Science, 2025.
– Name: DatePubCY
  Label: Publication Year
  Group: Date
  Data: 2025
– Name: Subset
  Label: Collection
  Group: HoldingsInfo
  Data: LCC:Mathematics
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22linear+difference+equation%22">linear difference equation</searchLink><br /><searchLink fieldCode="DE" term="%22linear+differential-difference+equation%22">linear differential-difference equation</searchLink><br /><searchLink fieldCode="DE" term="%22meromorphic+function%22">meromorphic function</searchLink><br /><searchLink fieldCode="DE" term="%22logarithmic+order%22">logarithmic order</searchLink><br /><searchLink fieldCode="DE" term="%22logarithmic+lower+order%22">logarithmic lower order</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematics%22">Mathematics</searchLink><br /><searchLink fieldCode="DE" term="%22QA1-939%22">QA1-939</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: 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.
– Name: TypeDocument
  Label: Document Type
  Group: TypDoc
  Data: article
– Name: Format
  Label: File Description
  Group: SrcInfo
  Data: electronic resource
– Name: Language
  Label: Language
  Group: Lang
  Data: English
– Name: ISSN
  Label: ISSN
  Group: ISSN
  Data: 0862-7959<br />2464-7136
– Name: NoteTitleSource
  Label: Relation
  Group: SrcInfo
  Data: https://mb.math.cas.cz/full/150/1/mb150_1_3.pdf; https://doaj.org/toc/0862-7959; https://doaj.org/toc/2464-7136
– Name: DOI
  Label: DOI
  Group: ID
  Data: 10.21136/MB.2024.0107-23
– Name: URL
  Label: Access URL
  Group: URL
  Data: <link linkTarget="URL" linkTerm="https://doaj.org/article/4225a03993e345c19129eba0d3c36d6e" linkWindow="_blank">https://doaj.org/article/4225a03993e345c19129eba0d3c36d6e</link>
– Name: AN
  Label: Accession Number
  Group: ID
  Data: edsdoj.4225a03993e345c19129eba0d3c36d6e
PLink https://login.libproxy.scu.edu/login?url=https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsdoj&AN=edsdoj.4225a03993e345c19129eba0d3c36d6e
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.21136/MB.2024.0107-23
    Languages:
      – Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 22
        StartPage: 49
    Subjects:
      – SubjectFull: linear difference equation
        Type: general
      – SubjectFull: linear differential-difference equation
        Type: general
      – SubjectFull: meromorphic function
        Type: general
      – SubjectFull: logarithmic order
        Type: general
      – SubjectFull: logarithmic lower order
        Type: general
      – SubjectFull: Mathematics
        Type: general
      – SubjectFull: QA1-939
        Type: general
    Titles:
      – TitleFull: Finite logarithmic order meromorphic solutions of linear difference/differential-difference equations
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Abdelkader Dahmani
      – PersonEntity:
          Name:
            NameFull: Benharrat Belaïdi
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 04
              Type: published
              Y: 2025
          Identifiers:
            – Type: issn-print
              Value: 08627959
            – Type: issn-print
              Value: 24647136
          Numbering:
            – Type: volume
              Value: 150
            – Type: issue
              Value: 1
          Titles:
            – TitleFull: Mathematica Bohemica
              Type: main
ResultId 1