Geodesic
Entire functions that share a function with their first and second derivatives
Feng Lü1 ; Junfeng Xu2
1 College of Science China University of Petroleum Qingdao 266555, Shandong, China
2 Department of Mathematics Wuyi University Jiangmen, Guangdong, 529020, P.R. China
Annales Polonici Mathematici, Tome 104 (2012) no. 1, pp. 81-96

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

Applying the normal family theory and the theory of complex differential equations, we obtain a uniqueness theorem for entire functions that share a function with their first and second derivative, which generalizes several related results of G. Jank, E. Mues L. Volkmann (1986), C. M. Chang M. L. Fang (2002) and I. Lahiri G. K. Ghosh (2009).
DOI : 10.4064/ap104-1-6
Keywords: applying normal family theory theory complex differential equations obtain uniqueness theorem entire functions share function their first second derivative which generalizes several related results nbsp jank nbsp mues amp nbsp volkmann nbsp chang amp nbsp fang nbsp lahiri amp nbsp ghosh

Feng Lü 1 ; Junfeng Xu 2

1 College of Science China University of Petroleum Qingdao 266555, Shandong, China
2 Department of Mathematics Wuyi University Jiangmen, Guangdong, 529020, P.R. China 
@article{10_4064_ap104_1_6,
     author = {Feng L\"u and Junfeng Xu},
     title = {Entire functions that share a function
 with their first and second derivatives},
     journal = {Annales Polonici Mathematici},
     pages = {81--96},
     publisher = {mathdoc},
     volume = {104},
     number = {1},
     year = {2012},
     doi = {10.4064/ap104-1-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap104-1-6/}
}
TY  - JOUR
AU  - Feng Lü
AU  - Junfeng Xu
TI  - Entire functions that share a function
 with their first and second derivatives
JO  - Annales Polonici Mathematici
PY  - 2012
SP  - 81
EP  - 96
VL  - 104
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap104-1-6/
DO  - 10.4064/ap104-1-6
LA  - en
ID  - 10_4064_ap104_1_6
ER  - 
%0 Journal Article
%A Feng Lü
%A Junfeng Xu
%T Entire functions that share a function
 with their first and second derivatives
%J Annales Polonici Mathematici
%D 2012
%P 81-96
%V 104
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap104-1-6/
%R 10.4064/ap104-1-6
%G en
%F 10_4064_ap104_1_6
Feng Lü; Junfeng Xu. Entire functions that share a function
 with their first and second derivatives. Annales Polonici Mathematici, Tome 104 (2012) no. 1, pp. 81-96. doi: 10.4064/ap104-1-6

Cité par Sources :