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Article: LINEAR q-DIFFERENCE, DIFFERENCE AND DIFFERENTIAL OPERATORS PRESERVING SOME A-ENTIRE FUNCTIONS

TitleLINEAR q-DIFFERENCE, DIFFERENCE AND DIFFERENTIAL OPERATORS PRESERVING SOME A-ENTIRE FUNCTIONS
Authors
Huang, JiaxingNg, Tuen Wai
Keywordsdifferential polynomial
Hermite-Poulain theory
Laguerre-Pólya class
linear operators
zero distributions
Issue Date1-Aug-2023
PublisherAmerican Mathematical Society
Citation
Proceedings of the American Mathematical Society, 2023, v. 151, n. 8, p. 3469-3479 How to Cite?
DOI: http://dx.doi.org/10.1090/proc/16321
AbstractWe apply Rossi’s half-plane version of Borel’s theorem to study the zero distribution of linear combinations of A-entire functions (Theorem 1.2). This provides a unified way to study linear q-difference, difference and differential operators (with entire coefficients) preserving subsets of A-entire functions, and hence obtain several analogous results for the Hermite-Poulain theorem to linear finite (q-)difference operators with polynomial coefficients. The method also produces a result on the existence of infinitely many non-real zeros of some differential polynomials of functions in certain sub-classes of A-entire functions.
Persistent Identifierhttp://hdl.handle.net/10722/347973
ISSN
0002-9939
2023 Impact Factor: 0.8
2023 SCImago Journal Rankings: 0.837

 

DC FieldValueLanguage
dc.contributor.authorHuang, Jiaxing-
dc.contributor.authorNg, Tuen Wai-
dc.date.accessioned2024-10-04T00:30:41Z-
dc.date.available2024-10-04T00:30:41Z-
dc.date.issued2023-08-01-
dc.identifier.citationProceedings of the American Mathematical Society, 2023, v. 151, n. 8, p. 3469-3479-
dc.identifier.issn0002-9939-
dc.identifier.urihttp://hdl.handle.net/10722/347973-
dc.description.abstractWe apply Rossi’s half-plane version of Borel’s theorem to study the zero distribution of linear combinations of A-entire functions (Theorem 1.2). This provides a unified way to study linear q-difference, difference and differential operators (with entire coefficients) preserving subsets of A-entire functions, and hence obtain several analogous results for the Hermite-Poulain theorem to linear finite (q-)difference operators with polynomial coefficients. The method also produces a result on the existence of infinitely many non-real zeros of some differential polynomials of functions in certain sub-classes of A-entire functions.-
dc.languageeng-
dc.publisherAmerican Mathematical Society-
dc.relation.ispartofProceedings of the American Mathematical Society-
dc.subjectdifferential polynomial-
dc.subjectHermite-Poulain theory-
dc.subjectLaguerre-Pólya class-
dc.subjectlinear operators-
dc.subjectzero distributions-
dc.titleLINEAR q-DIFFERENCE, DIFFERENCE AND DIFFERENTIAL OPERATORS PRESERVING SOME A-ENTIRE FUNCTIONS-
dc.typeArticle-
dc.identifier.doi10.1090/proc/16321-
dc.identifier.scopuseid_2-s2.0-85162196434-
dc.identifier.volume151-
dc.identifier.issue8-
dc.identifier.spage3469-
dc.identifier.epage3479-
dc.identifier.eissn1088-6826-
dc.identifier.issnl0002-9939-

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