File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1090/proc/16321
- Scopus: eid_2-s2.0-85162196434
- WOS: WOS:000975687600001
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: LINEAR q-DIFFERENCE, DIFFERENCE AND DIFFERENTIAL OPERATORS PRESERVING SOME A-ENTIRE FUNCTIONS
| Title | LINEAR q-DIFFERENCE, DIFFERENCE AND DIFFERENTIAL OPERATORS PRESERVING SOME A-ENTIRE FUNCTIONS |
|---|---|
| Authors | |
| Keywords | differential polynomial Hermite-Poulain theory Laguerre-Pólya class linear operators zero distributions |
| Issue Date | 1-Aug-2023 |
| Publisher | American Mathematical Society |
| Citation | Proceedings of the American Mathematical Society, 2023, v. 151, n. 8, p. 3469-3479 How to Cite? |
| Abstract | We 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 Identifier | http://hdl.handle.net/10722/347973 |
| ISSN | 2023 Impact Factor: 0.8 2023 SCImago Journal Rankings: 0.837 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Huang, Jiaxing | - |
| dc.contributor.author | Ng, Tuen Wai | - |
| dc.date.accessioned | 2024-10-04T00:30:41Z | - |
| dc.date.available | 2024-10-04T00:30:41Z | - |
| dc.date.issued | 2023-08-01 | - |
| dc.identifier.citation | Proceedings of the American Mathematical Society, 2023, v. 151, n. 8, p. 3469-3479 | - |
| dc.identifier.issn | 0002-9939 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/347973 | - |
| dc.description.abstract | We 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.language | eng | - |
| dc.publisher | American Mathematical Society | - |
| dc.relation.ispartof | Proceedings of the American Mathematical Society | - |
| dc.subject | differential polynomial | - |
| dc.subject | Hermite-Poulain theory | - |
| dc.subject | Laguerre-Pólya class | - |
| dc.subject | linear operators | - |
| dc.subject | zero distributions | - |
| dc.title | LINEAR q-DIFFERENCE, DIFFERENCE AND DIFFERENTIAL OPERATORS PRESERVING SOME A-ENTIRE FUNCTIONS | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1090/proc/16321 | - |
| dc.identifier.scopus | eid_2-s2.0-85162196434 | - |
| dc.identifier.volume | 151 | - |
| dc.identifier.issue | 8 | - |
| dc.identifier.spage | 3469 | - |
| dc.identifier.epage | 3479 | - |
| dc.identifier.eissn | 1088-6826 | - |
| dc.identifier.isi | WOS:000975687600001 | - |
| dc.identifier.issnl | 0002-9939 | - |