An extension of one direction in Marty's normality criterion

Jürgen Grahl; Shahar Nevo

doi:10.1007/s00605-013-0561-7

An extension of one direction in Marty's normality criterion

Jürgen Grahl
, Shahar Nevo

Department of Mathematics

University of Würzburg

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

We prove the following extension of one direction in Marty's theorem: If k is a natural number, α > 1 and F is a family of functions meromorphic on a domain D all of whose poles have multiplicity at least k/α-1, then the normality of F implies that the family (Formula presented.) is locally uniformly bounded.

Original language	English
Pages (from-to)	205-217
Number of pages	13
Journal	Monatshefte fur Mathematik
Volume	174
Issue number	2
DOIs	https://doi.org/10.1007/s00605-013-0561-7
State	Published - Jun 2014

Bibliographical note

Funding Information:
Research of Shahar Nevo was supported by the Israel Science Foundation, Grant No. 395/2007.

Funding

Research of Shahar Nevo was supported by the Israel Science Foundation, Grant No. 395/2007.

Funders	Funder number
Israel Science Foundation	395/2007

Keywords

Marty's theorem
Nevanlinna theory
Normal families

Access to Document

10.1007/s00605-013-0561-7

Cite this

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KW - Nevanlinna theory

KW - Normal families

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An extension of one direction in Marty's normality criterion

Abstract

Bibliographical note

Funding

Keywords

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