The representation of a meromorphic function as the quotient of entire functions and Paley problem in C^n: survey of some results
| dc.creator | Khabibullin, Bulat N. | |
| dc.date | 2005-02-21 | |
| dc.date.accessioned | 2026-07-07T05:17:20Z | |
| dc.date.available | 2026-07-07T05:17:20Z | |
| dc.description | The classical representation problem for a meromorphic function f in C^n, n>=1, consists in representing f as the quotient f=g/h of two entire functions g and h, each with logarithm of modulus majorized by a function as close as possible to the Nevanlinna characteristic. Here we introduce generalizations of the Nevanlinna characteristic and give a short survey of classical and recent results on the representation of a meromorphic function in terms such characteristics. When f has a finite lower order, the Paley problem on best possible estimates of the growth of entire functions g and h in the representations f=g/h will be considered. Also we point out to some unsolved problems in this area. | |
| dc.description | LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math/0502433 | |
| dc.identifier | http://arxiv.org/abs/math/0502433 | |
| dc.identifier | Matematicheskaya fizika, analiz, geometriya (Ukraine), 9 (2002), no.2, P. 146-167 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74265 | |
| dc.subject | Complex Variables | |
| dc.subject | 32A15; 32A20; 31A05; 31C10 | |
| dc.title | The representation of a meromorphic function as the quotient of entire functions and Paley problem in C^n: survey of some results | |
| dc.type | text |