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Article: On admissible entire solutions of Pell type functional equation f2 + ag2 = 1

TitleOn admissible entire solutions of Pell type functional equation f2 + ag2 = 1
Authors
KeywordsEntire admissible solutions
Non-linear differential equation
Pell type functional equations
Issue Date2019
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa
Citation
Journal of Mathematical Analysis and Applications, 2019, v. 480 n. 1, p. article no. 123240 How to Cite?
AbstractGiven a non-zero entire function a, we would like to find entire functions f and g such that a is a small function of f and g and the pair (f,g) satisfies the Pell type functional equation: f2+ag2=1. Such pair (f,g) is called an admissible entire solution and is studied for the first time in this note. We will show that all admissible solutions must be of certain form and they always exist. This will allow us to obtain some results on entire solutions of the related non-linear differential equation f2+a(f(k))2=1 where k is a positive integer. © 2019
Persistent Identifierhttp://hdl.handle.net/10722/278194
ISSN
2019 Impact Factor: 1.22
2015 SCImago Journal Rankings: 1.161
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorZhang, JJ-
dc.contributor.authorYang, CC-
dc.contributor.authorNg, TW-
dc.date.accessioned2019-10-04T08:09:18Z-
dc.date.available2019-10-04T08:09:18Z-
dc.date.issued2019-
dc.identifier.citationJournal of Mathematical Analysis and Applications, 2019, v. 480 n. 1, p. article no. 123240-
dc.identifier.issn0022-247X-
dc.identifier.urihttp://hdl.handle.net/10722/278194-
dc.description.abstractGiven a non-zero entire function a, we would like to find entire functions f and g such that a is a small function of f and g and the pair (f,g) satisfies the Pell type functional equation: f2+ag2=1. Such pair (f,g) is called an admissible entire solution and is studied for the first time in this note. We will show that all admissible solutions must be of certain form and they always exist. This will allow us to obtain some results on entire solutions of the related non-linear differential equation f2+a(f(k))2=1 where k is a positive integer. © 2019-
dc.languageeng-
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa-
dc.relation.ispartofJournal of Mathematical Analysis and Applications-
dc.subjectEntire admissible solutions-
dc.subjectNon-linear differential equation-
dc.subjectPell type functional equations-
dc.titleOn admissible entire solutions of Pell type functional equation f2 + ag2 = 1-
dc.typeArticle-
dc.identifier.emailNg, TW: ngtw@hku.hk-
dc.identifier.authorityNg, TW=rp00768-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jmaa.2019.06.011-
dc.identifier.scopuseid_2-s2.0-85070195784-
dc.identifier.hkuros306792-
dc.identifier.volume480-
dc.identifier.issue1-
dc.identifier.spagearticle no. 123240-
dc.identifier.epagearticle no. 123240-
dc.identifier.isiWOS:000483414100001-
dc.publisher.placeUnited States-
dc.identifier.issnl0022-247X-

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