On exceptional values of entire and meromorphic functions

Abstract

Let f(z) be meromorphic function of finite nonzero order ?. Assuming certain growth estimates on f by comparing it with r?L(r) where L(r) is a slowly changing function we have obtained the bounds for the zeros of f(z) -g (z) where g (z) is a meromorphic function satisfying T (r, g)=o {T(r, f)} as r ? ?. These bounds are satisfied but for some exceptional functions. Examples are given to show that such exceptional functions exist. 1974 Indian Academy of Sciences.