Turkish Journal of Mathematics
Abstract
Let f(z) be a transcendental meromorphic function. Results are proved concerning the value distribution of the n'th forward difference \Delta^nf(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.
DOI
10.3906/mat-1101-79
Keywords
Complex difference; value distribution; Borel exceptional value
First Page
395
Last Page
406
Recommended Citation
ZHANG, R, & CHEN, Z (2012). Value distribution of meromorphic functions and their differences. Turkish Journal of Mathematics 36 (3): 395-406. https://doi.org/10.3906/mat-1101-79
