Displaying similar documents to “The derivatives of a meromorphic function and Nevanlinna's deficient values.”

Uniqueness problem for meromorphic mappings with truncated multiplicities and few targets

Gerd Dethloff, Tran Van Tan (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

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In this paper, using techniques of value distribution theory, we give a uniqueness theorem for meromorphic mappings of m into P n with truncated multiplicities and “few" targets. We also give a theorem of linear degeneration for such maps with truncated multiplicities and moving targets.

On the exceptional set in Nevanlinna's second fundamental theorem in the unit disc.

Arturo Fernández Arias, Francisco Rodríguez Mateos (1996)

Publicacions Matemàtiques

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A general example of an analytic function in the unit disc possessing an exceptional set in Nevanlinna’s second fundamental theorem is built. It is used to show that some conditions on the size of the exceptional set are sharp, extending analogous results for meromorphic functions in the plane.