International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 4, Pages 285-288

A note on a result of Singh and Kulkarni

Mingliang Fang

State Key Laboratory of Millimeter Waves, Southeast University, Nanjing 210096, China

Received 22 June 1998

Copyright © 2000 Mingliang Fang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We prove that if f is a transcendental meromorphic function of finite order and aδ(a,f)+δ(,f)=2, then K(f(k))=2k(1δ(,f))1+kkδ(,f), where K(f(k))=limrN(r,1/f(k))+N(r,f(k))T(r,f(k)) This result improves a result by Singh and Kulkarni.