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An Inequality for Algebroid Functions and Some Applications
Citation
Alonso Gómez, Ángel José (2019). An Inequality for Algebroid Functions and Some Applications. "Complex Analysis and Operator Theory", v. 13 (n. 4); pp. 1583-1593. ISSN 1661-8262. https://doi.org/10.1007/s11785-017-0748-3.
Description
| Title: | An Inequality for Algebroid Functions and Some Applications |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Complex Analysis and Operator Theory |
| Date: | June 2019 |
| ISSN: | 1661-8262 |
| Volume: | 13 |
| Subjects: | |
| Freetext Keywords: | Algebroid functions; Gamma-lines; Deficiency relations; Proximity principles |
| Faculty: | E.T.S. de Ingeniería Agronómica, Alimentaria y de Biosistemas (UPM) |
| Department: | Matemática Aplicada |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
In this paper we present a version for algebroid functions of an inequality due to Barsegian (Math URSS Sbornik 42(2):155, 1982) and we get two consequences: first a kind of deficiency relation for curves (preimages of an algebroid function, the so-called ?-lines) which is an extension of the well-known relation of Barsegian (?- lines. On the geometry of real and complex functions. Taylor & Francis, London, 2002) and secondly a proximity principle for the preimages of an algebroid function, also an extension of the principle for meromorphic functions.
More information
| Item ID: | 53571 |
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| DC Identifier: | http://oa.upm.es/53571/ |
| OAI Identifier: | oai:oa.upm.es:53571 |
| DOI: | 10.1007/s11785-017-0748-3 |
| Official URL: | https://link.springer.com/article/10.1007/s11785-017-0748-3 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 03 Jul 2019 12:08 |
| Last Modified: | 01 Jul 2020 22:30 |
