Ranran ZHANG, Zongxuan CHEN

Value distribution of meromorphic functions and their differences

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.

Anahtar Kelimeler:

Complex difference; value distribution; Borel exceptional value

Value distribution of meromorphic functions and their differences

Keywords:

Complex difference; value distribution; Borel exceptional value,

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Ranran ZHANG, Zongxuan CHEN Received: 21.01.2011
School of Mathematical Sciences,
South China Normal University,
Guangzhou 510631, People’s Republic of CHINA
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