A note on a result of Singh and Kulkarni
type: Item
instance of: scholarly article
title: A note on a result of Singh and Kulkarni
zbMATH Open document ID: 0954.30018
DOI: 10.1155/S016117120000082X
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2000-06-05T00:00:00Z
full work available at URL: https://eudml.org/doc/48621
review text: We prove that if \(f\) is a transcendental meromorphic function of finite order and \(\sum_{a\neq \infty}\delta (a,f)+\delta (\infty,f)=2\), then \[ K(f^{(k)}) ={2k(1-\delta (\infty,f))\over 1+k-k\delta (\infty,f)}, \] where \[ K(f^{(k)})= \lim_{r\to \infty}{N (r,1/f^{(k)}) +N(r,f^{(k)}) \over T(r,f^{(k)})}. \] The result improves a result by Singh and Kulkarni.
Mathematics Subject Classification ID: 30D35
zbMATH DE Number: 1455549
zbMATH Keywords: Nevanlinna's deficiency
zbMATH Keywords: maximum deficiency sum
zbMATH Keywords: meromorphic function
author: Mingliang Fang
reviewed by: Chungchun Yang
MaRDI profile type: Publication
OpenAlex ID: W2110669352
description: scientific article; zbMATH DE number 1455549