We investigate the distribution of zeros and shared values of the difference operator on meromorphic functions. In particular, we show that if f is a transcendental meromorphic function of finite order with a small number of poles, c is a non-zero complex constant such that for n ≥ 2, and a is a small function with respect to f, then equals a (≠ 0,∞) at infinitely many points. Uniqueness of difference polynomials with the same 1-points or fixed points is also proved.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-3-2,
author = {Jilong Zhang and Zongsheng Gao and Sheng Li},
title = {Distribution of zeros and shared values of difference operators},
journal = {Annales Polonici Mathematici},
volume = {101},
year = {2011},
pages = {213-221},
zbl = {1236.39021},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-3-2}
}
Jilong Zhang; Zongsheng Gao; Sheng Li. Distribution of zeros and shared values of difference operators. Annales Polonici Mathematici, Tome 101 (2011) pp. 213-221. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-3-2/