Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang

التفاصيل البيبلوغرافية
العنوان: Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang
المؤلفون: Xu, Hong Yan, Mandal, Rajib, Biswas, Raju
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Complex Variables, 39A45, 39A14, 39B32, 34M05, 32W50, 32A20, 30D35
الوصف: The objective of this study is to ascertain the existence and forms of the finite order meromorphic and entire functions of several complex variables satisfying some certain Fermat-type partial differential-difference equations by considering the more general forms of the PDDEs in an open problem on $\mathbb{C}^2$ due to Xu and Wang (Notes on the existence of entire solutions for several partial differential-difference equations, Bull. Iran. Math. Soc., 47, 1477-1489 (2020)). We provide examples to illustrate the results.
Comment: 17 Pages, Latex-V1
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2412.19338
رقم الانضمام: edsarx.2412.19338
قاعدة البيانات: arXiv
ResultId 1
Header edsarx
arXiv
edsarx.2412.19338
1145
3
Report
report
1145.36938476563
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&scope=site&db=edsarx&AN=edsarx.2412.19338&custid=s6537998&authtype=sso
FullText Array ( [Availability] => 0 )
Array ( [0] => Array ( [Url] => http://arxiv.org/abs/2412.19338 [Name] => EDS - Arxiv [Category] => fullText [Text] => View record in Arxiv [MouseOverText] => View record in Arxiv ) )
Items Array ( [Name] => Title [Label] => Title [Group] => Ti [Data] => Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang )
Array ( [Name] => Author [Label] => Authors [Group] => Au [Data] => <searchLink fieldCode="AR" term="%22Xu%2C+Hong+Yan%22">Xu, Hong Yan</searchLink><br /><searchLink fieldCode="AR" term="%22Mandal%2C+Rajib%22">Mandal, Rajib</searchLink><br /><searchLink fieldCode="AR" term="%22Biswas%2C+Raju%22">Biswas, Raju</searchLink> )
Array ( [Name] => DatePubCY [Label] => Publication Year [Group] => Date [Data] => 2024 )
Array ( [Name] => Subset [Label] => Collection [Group] => HoldingsInfo [Data] => Mathematics )
Array ( [Name] => Subject [Label] => Subject Terms [Group] => Su [Data] => <searchLink fieldCode="DE" term="%22Mathematics+-+Complex+Variables%22">Mathematics - Complex Variables</searchLink><br /><searchLink fieldCode="DE" term="%2239A45%2C+39A14%2C+39B32%2C+34M05%2C+32W50%2C+32A20%2C+30D35%22">39A45, 39A14, 39B32, 34M05, 32W50, 32A20, 30D35</searchLink> )
Array ( [Name] => Abstract [Label] => Description [Group] => Ab [Data] => The objective of this study is to ascertain the existence and forms of the finite order meromorphic and entire functions of several complex variables satisfying some certain Fermat-type partial differential-difference equations by considering the more general forms of the PDDEs in an open problem on $\mathbb{C}^2$ due to Xu and Wang (Notes on the existence of entire solutions for several partial differential-difference equations, Bull. Iran. Math. Soc., 47, 1477-1489 (2020)). We provide examples to illustrate the results.<br />Comment: 17 Pages, Latex-V1 )
Array ( [Name] => TypeDocument [Label] => Document Type [Group] => TypDoc [Data] => Working Paper )
Array ( [Name] => URL [Label] => Access URL [Group] => URL [Data] => <link linkTarget="URL" linkTerm="http://arxiv.org/abs/2412.19338" linkWindow="_blank">http://arxiv.org/abs/2412.19338</link> )
Array ( [Name] => AN [Label] => Accession Number [Group] => ID [Data] => edsarx.2412.19338 )
RecordInfo Array ( [BibEntity] => Array ( [Subjects] => Array ( [0] => Array ( [SubjectFull] => Mathematics - Complex Variables [Type] => general ) [1] => Array ( [SubjectFull] => 39A45, 39A14, 39B32, 34M05, 32W50, 32A20, 30D35 [Type] => general ) ) [Titles] => Array ( [0] => Array ( [TitleFull] => Solutions for certain Fermat-type PDDEs concerning an open problem of Xu and Wang [Type] => main ) ) ) [BibRelationships] => Array ( [HasContributorRelationships] => Array ( [0] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => Xu, Hong Yan ) ) ) [1] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => Mandal, Rajib ) ) ) [2] => Array ( [PersonEntity] => Array ( [Name] => Array ( [NameFull] => Biswas, Raju ) ) ) ) [IsPartOfRelationships] => Array ( [0] => Array ( [BibEntity] => Array ( [Dates] => Array ( [0] => Array ( [D] => 26 [M] => 12 [Type] => published [Y] => 2024 ) ) ) ) ) ) )
IllustrationInfo