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Article: Hypertranscendency of perturbations of hypertranscendental functions

TitleHypertranscendency of perturbations of hypertranscendental functions
Authors
KeywordsAlgebraic differential equation
Euler gamma function
Hypertranscendence
Issue Date2020
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa
Citation
Journal of Mathematical Analysis and Applications, 2020, v. 491 n. 2, p. article no. 124390 How to Cite?
AbstractInspired by the work of Bank on the hypertranscendence of Γeh where Γ is the Euler gamma function and h is an entire function, we investigate when a meromorphic function feg cannot satisfy any algebraic differential equation over certain field of meromorphic functions, where f and g are meromorphic and entire on the complex plane, respectively. Our results (Theorem 1 and 2) give partial solutions to Bank's Conjecture (1977) on the hypertranscendence of Γeh. We also give some sufficient conditions for hypertranscendence of meromorphic function of the form f+g, f⋅g and f∘g in Theorem 3 and 4. © 2020 Elsevier Inc.
Persistent Identifierhttp://hdl.handle.net/10722/287669
ISSN
2019 Impact Factor: 1.22
2015 SCImago Journal Rankings: 1.161
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorHuang, J-
dc.contributor.authorNg, TW-
dc.date.accessioned2020-10-05T12:01:30Z-
dc.date.available2020-10-05T12:01:30Z-
dc.date.issued2020-
dc.identifier.citationJournal of Mathematical Analysis and Applications, 2020, v. 491 n. 2, p. article no. 124390-
dc.identifier.issn0022-247X-
dc.identifier.urihttp://hdl.handle.net/10722/287669-
dc.description.abstractInspired by the work of Bank on the hypertranscendence of Γeh where Γ is the Euler gamma function and h is an entire function, we investigate when a meromorphic function feg cannot satisfy any algebraic differential equation over certain field of meromorphic functions, where f and g are meromorphic and entire on the complex plane, respectively. Our results (Theorem 1 and 2) give partial solutions to Bank's Conjecture (1977) on the hypertranscendence of Γeh. We also give some sufficient conditions for hypertranscendence of meromorphic function of the form f+g, f⋅g and f∘g in Theorem 3 and 4. © 2020 Elsevier Inc.-
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.subjectAlgebraic differential equation-
dc.subjectEuler gamma function-
dc.subjectHypertranscendence-
dc.titleHypertranscendency of perturbations of hypertranscendental functions-
dc.typeArticle-
dc.identifier.emailHuang, J: hj910605@HKUCC-COM.hku.hk-
dc.identifier.emailNg, TW: ngtw@hku.hk-
dc.identifier.authorityNg, TW=rp00768-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jmaa.2020.124390-
dc.identifier.scopuseid_2-s2.0-85088148286-
dc.identifier.hkuros315086-
dc.identifier.volume491-
dc.identifier.issue2-
dc.identifier.spagearticle no. 124390-
dc.identifier.epagearticle no. 124390-
dc.identifier.isiWOS:000556890600047-
dc.publisher.placeUnited States-
dc.identifier.issnl0022-247X-

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