Uniqueness theorems for entire functions whose difference polynomials share a meromorphic function of a smaller order

• Autorzy: Xiao-Min Li , Wen-Li Li , Hong-Xun Yi , Zhi-Tao Wen
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 30D30: Meromorphic functions, general theory
• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 102
• Numer: 2
• Strony: 111-127

Daty

wydano

2011

Twórcy

autor

Xiao-Min Li

• Department of Mathematics, Ocean University of China, Qingdao, Shandong 266100, People's Republic of China
• Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, FI-80101 Joensuu, Finland

autor

Wen-Li Li

• Department of Mathematics, Ocean University of China, Qingdao, Shandong 266100, People's Republic of China

autor

Hong-Xun Yi

• Department of Mathematics, Shandong University, Jinan, Shandong 250100, People's Republic of China

autor

Zhi-Tao Wen

• Department of Mathematics, Ocean University of China, Qingdao, Shandong 266100, People's Republic of China
• Department of Physics and Mathematics, University of Eastern Finland, P.O. Box 111, FI-80101 Joensuu, Finland

Identyfikatory

DOI

10.4064/ap102-2-2