Displaying similar documents to “Finely holomorphic and finely subharmonic functions in contour-solid problems.”

On quotients of holomorphic funtions in the dics with boundary regularity conditions.

Joaquín M. Ortega (1988)

Publicacions Matemàtiques

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In this paper we give characterizations of those holomorphic functions in the unit disc in the complex plane that can be written as a quotient of functions in A(D), A(D) or Λ(D) with a nonvanishing denominator in D. As a consequence we prove that if f ∈ Λ(D) does not vanish in D, then there exists g ∈ Λ(D) which has the same zero set as f in Dbar and such that fg ∈ A(D).

The error term in Nevanlinna's second fundamental theorem for holomorphic mappings on coverings.

Arturo Fernández Arias (2002)

RACSAM

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Se estudia el término de error en el segundo teorema fundamental para las aplicaciones holomorfas F : Y → P, donde en Y hay definida una aplicación recubridora holomorfa p : Y → C, aplicaciones consideradas por S. Lang and W. Cherry. También se obtiene el lema de la derivada logarítmica para esta clase de funciones que, en particular, contiene la clase de las funciones algebroides. Se demuestra que la estimación obtenida mejora un resultado clásico de Henrik Selberg sobre la derivada...

Cluster sets of analytic multivalued functions

S. Harbottle (1992)

Studia Mathematica

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Classical theorems about the cluster sets of holomorphic functions on the unit disc are extended to the more general setting of analytic multivalued functions, and examples are given to show that these extensions cannot be improved.