Author/Authors :
WU, J Xianning Vocational and Technical College , WU, Z School of Mathematics and Statistics - Hubei University of Science and Technology
Abstract :
ABSTRACT. In this paper, some results of Singh, Gopalakrishna and Kulkarni (1970s) have been extended to higher order derivatives. It has been shown that, if zo(a, f) = 2 holds for a meromorphic function f(z) of finite order, then for any positive integer k, T(r, f) ∼ T(r,f()),r ∼ ∞ if 6(∞, f) = 1 and T(r, fik)) ∼ (k + 1)T(r,f),r → ∞ if (∞, f) = 0.