Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order
Volume 102 / 2011
Annales Polonici Mathematici 102 (2011), 111-127
MSC: 30D35, 30D30.
DOI: 10.4064/ap102-2-2
Abstract
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.
