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, RANRAN and CHEN, ZONGXUAN
(2012)
"Value distribution of meromorphic functions and their differences,"
Turkish Journal of Mathematics: Vol. 36:
No.
3, Article 6.
https://doi.org/10.3906/mat-1101-79
Available at:
https://journals.tubitak.gov.tr/math/vol36/iss3/6
