Geodesic
Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order
Xiao-Min Li1 ; Wen-Li Li2 ; Hong-Xun Yi3 ; Zhi-Tao Wen1
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
Annales Polonici Mathematici, Tome 102 (2011) no. 2, pp. 111-127

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap102-2-2
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

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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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

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