An Inequality for Algebroid Functions and Some Applications

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
Author/s:
  • Alonso Gómez, Ángel José
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

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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
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
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