We deal with uniqueness of entire functions whose difference polynomials share a nonzero polynomial CM, which corresponds to Theorem 2 of I. Laine and C. C. Yang [Proc. Japan Acad. Ser. A 83 (2007), 148-151] and Theorem 1.2 of K. Liu and L. Z. Yang [Arch. Math. 92 (2009), 270-278]. We also deal with uniqueness of entire functions whose difference polynomials share a meromorphic function of a smaller order, improving Theorem 5 of J. L. Zhang [J. Math. Anal. Appl. 367 (2010), 401-408], where the entire functions are of finite orders.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-2-2,
author = {Xiao-Min Li and Wen-Li Li and Hong-Xun Yi and Zhi-Tao Wen},
title = {Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order},
journal = {Annales Polonici Mathematici},
volume = {101},
year = {2011},
pages = {111-127},
zbl = {1242.30023},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-2-2}
}
Xiao-Min Li; Wen-Li Li; Hong-Xun Yi; Zhi-Tao Wen. Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order. Annales Polonici Mathematici, Tome 101 (2011) pp. 111-127. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap102-2-2/