A boundary property of some subclasses of functions of bounded type in the half-plane

ABSTRACT: The paper gives the construction of the half-plane analog of the part of the factorization theory of M. M. Djrbashian – V. S. Zakaryan, where Djrbashian’s generalized fractional integral was used to establish the descriptive representations and boundary properties of meromorphic in the unit disc functions of the classes N{ω} contained in the Nevanlinna class N of functions of bounded type. Some results of nearly the same type are obtained for several weighted classes of meromorphic in the upper half-plane functions with bounded Tsuji characteristics by application of the Laplace transform along with an Hadamard–Liouville type generalized integro-differential operator with an unbounded integration contour, which becomes the Liouville integro-differentiation in a particular case.

• Autores: Restrepo Tangarife, Joel Esteban; Jerbashian, Armen
• Tipo de recurso: Article of investigation
• Fecha de publicación: 2017
• Institución: Universidad de Antioquia
• Repositorio: Repositorio UdeA
• Idioma: eng
• OAI Identifier: oai:bibliotecadigital.udea.edu.co:10495/33793
• Acceso en línea: https://hdl.handle.net/10495/33793
• Palabra clave: Cálculo; Calculus; Funciones; Functions; Problemas de valores de frontera; Boundary value problems; Factorización (finanzas); Factoring (finance); Problemas de valor límite; Boundary value problems; Cálculo fraccionario
• Rights: openAccess
• License: http://creativecommons.org/licenses/by/2.5/co/