Journals / Turkish Journal of Mathematics / 2012 / Cilt: 36 - Sayı: 3
Value distribution of meromorphic functions and their differences
- Pages
- 395–406
- DOI
- —
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.
Özet
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.