Geodesic
Entire functions that share values or small functions with their derivatives
Sheng Li1 ; Zongsheng Gao2 ; Jilong Zhang2
1 LMIB & School of Mathematics and Systems Science Beihang University Beijing, 100191, P.R. China and College of Science Guangdong Ocean University Zhanjiang, Guangdong, 524088, P.R. China
2 LMIB & School of Mathematics and Systems Science Beihang University Beijing, 100191, P.R. China
Annales Polonici Mathematici, Tome 104 (2012) no. 1, pp. 1-11

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

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.
DOI : 10.4064/ap104-1-1
Keywords: investigate uniqueness entire functions sharing values small functions their derivatives results gives necessary condition nevanlinna deficiency entire function sharing nonzero finite value its derivative applications result provided finally prove further results small function sharing

Sheng Li 1 ; Zongsheng Gao 2 ; Jilong Zhang 2

1 LMIB & School of Mathematics and Systems Science Beihang University Beijing, 100191, P.R. China and College of Science Guangdong Ocean University Zhanjiang, Guangdong, 524088, P.R. China
2 LMIB & School of Mathematics and Systems Science Beihang University Beijing, 100191, P.R. China 
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 functions with their derivatives},
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 functions with their derivatives
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 functions with their derivatives
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Sheng Li; Zongsheng Gao; Jilong Zhang. Entire functions that share values or small
 functions with their derivatives. Annales Polonici Mathematici, Tome 104 (2012) no. 1, pp. 1-11. doi: 10.4064/ap104-1-1

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