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Growth Majorants and Quotient Representations of Meromorphic Functions

Growth Majorants and Quotient Representations of Meromorphic Functions The classes Λ of meromorphic functions in C of finite λ-type were introduced and studied by L. A. Rubel and B. A. Taylor. The representation problem for meromorphic functions from Λ as quotients of entire functions from Λ without common zeroes, the so-called canonical quotient representa tions, is considered, in this paper. It is shown that this problem reduces to the study of growth majorant properties of entire functions with restrictions on their zero quantities. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

Growth Majorants and Quotient Representations of Meromorphic Functions

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References (20)

Publisher
Springer Journals
Copyright
Copyright © 2001 by Heldermann Verlag
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/BF03321007
Publisher site
See Article on Publisher Site

Abstract

The classes Λ of meromorphic functions in C of finite λ-type were introduced and studied by L. A. Rubel and B. A. Taylor. The representation problem for meromorphic functions from Λ as quotients of entire functions from Λ without common zeroes, the so-called canonical quotient representa tions, is considered, in this paper. It is shown that this problem reduces to the study of growth majorant properties of entire functions with restrictions on their zero quantities.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Mar 7, 2013

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