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- Publisher Website: 10.1016/j.jmaa.2020.124390
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Article: Hypertranscendency of perturbations of hypertranscendental functions
| Title | Hypertranscendency of perturbations of hypertranscendental functions |
|---|---|
| Authors | |
| Keywords | Algebraic differential equation Euler gamma function Hypertranscendence |
| Issue Date | 2020 |
| Publisher | Academic 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? |
| Abstract | Inspired 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 Identifier | http://hdl.handle.net/10722/287669 |
| ISSN | 2021 Impact Factor: 1.417 2020 SCImago Journal Rankings: 0.951 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Huang, J | - |
| dc.contributor.author | Ng, TW | - |
| dc.date.accessioned | 2020-10-05T12:01:30Z | - |
| dc.date.available | 2020-10-05T12:01:30Z | - |
| dc.date.issued | 2020 | - |
| dc.identifier.citation | Journal of Mathematical Analysis and Applications, 2020, v. 491 n. 2, p. article no. 124390 | - |
| dc.identifier.issn | 0022-247X | - |
| dc.identifier.uri | http://hdl.handle.net/10722/287669 | - |
| dc.description.abstract | Inspired 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.language | eng | - |
| dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmaa | - |
| dc.relation.ispartof | Journal of Mathematical Analysis and Applications | - |
| dc.subject | Algebraic differential equation | - |
| dc.subject | Euler gamma function | - |
| dc.subject | Hypertranscendence | - |
| dc.title | Hypertranscendency of perturbations of hypertranscendental functions | - |
| dc.type | Article | - |
| dc.identifier.email | Huang, J: hj910605@HKUCC-COM.hku.hk | - |
| dc.identifier.email | Ng, TW: ngtw@hku.hk | - |
| dc.identifier.authority | Ng, TW=rp00768 | - |
| dc.description.nature | link_to_subscribed_fulltext | - |
| dc.identifier.doi | 10.1016/j.jmaa.2020.124390 | - |
| dc.identifier.scopus | eid_2-s2.0-85088148286 | - |
| dc.identifier.hkuros | 315086 | - |
| dc.identifier.volume | 491 | - |
| dc.identifier.issue | 2 | - |
| dc.identifier.spage | article no. 124390 | - |
| dc.identifier.epage | article no. 124390 | - |
| dc.identifier.isi | WOS:000556890600047 | - |
| dc.publisher.place | United States | - |
| dc.identifier.issnl | 0022-247X | - |