1Department of Mathematics Ocean University of China Qingdao, Shandong 266100 People's Republic of China and Department of Physics and Mathematics University of Eastern Finland P.O. Box 111 FI-80101 Joensuu, Finland 2Department of Mathematics Ocean University of China Qingdao, Shandong 266100 People's Republic of China 3Department of Mathematics Shandong University Jinan, Shandong 250100 People's Republic of China
Annales Polonici Mathematici, Tome 102 (2011) no. 2, pp. 111-127
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.
Keywords:
uniqueness entire functions whose difference polynomials share nonzero polynomial which corresponds theorem laine yang proc japan acad ser theorem liu yang arch math uniqueness entire functions whose difference polynomials share meromorphic function smaller order improving theorem zhang math anal appl where entire functions finite orders
Affiliations des auteurs :
Xiao-Min Li
1
;
Wen-Li Li
2
;
Hong-Xun Yi
3
;
Zhi-Tao Wen
1
1
Department of Mathematics Ocean University of China Qingdao, Shandong 266100 People's Republic of China and Department of Physics and Mathematics University of Eastern Finland P.O. Box 111 FI-80101 Joensuu, Finland
2
Department of Mathematics Ocean University of China Qingdao, Shandong 266100 People's Republic of China
3
Department of Mathematics Shandong University Jinan, Shandong 250100 People's Republic of China
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title = {Uniqueness theorems for entire functions whose
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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 102 (2011) no. 2, pp. 111-127. doi: 10.4064/ap102-2-2
