Entire functions that share values or small functions with their derivatives

• Autorzy: Sheng Li , Zongsheng Gao , Jilong Zhang
• Języki publikacji: EN

Abstrakty

EN

We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.

Kategorie tematyczne

• 30D35: Distribution of values, Nevanlinna theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2012
• Tom: 104
• Numer: 1
• Strony: 1-11

Daty

wydano

2012

Twórcy

autor

Sheng Li

• LMIB & School of Mathematics and Systems Science, Beihang University, Beijing, 100191, P.R. China
• College of Science, Guangdong Ocean University, Zhanjiang, Guangdong, 524088, P.R. China

autor

Zongsheng Gao

• LMIB & School of Mathematics and Systems Science, Beihang University, Beijing, 100191, P.R. China

autor

Jilong Zhang

• LMIB & School of Mathematics and Systems Science, Beihang University, Beijing, 100191, P.R. China

Identyfikatory

DOI

10.4064/ap104-1-1