- Turkish Journal of Mathematics
- Vol: 36 Issue: 3
- Value distribution of meromorphic functions and their differences
Value distribution of meromorphic functions and their differences
Authors : Ranran Zhang, Zongxuan Chen
Pages : 395-406
View : 9 | Download : 6
Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :Let f(z) be a transcendental meromorphic function. Results are proved concerning the value distribution of the n'th forward difference Dnf(z), in terms of Borel exceptional values of f(z). The results may be partly viewed as discrete analogues of a classical theorem of Hayman dealing with the possible relationships between Picard exceptional values of f(z) and its derivatives.Keywords : Complex difference, value distribution, Borel exceptional value