Unicity of meromorphic functions related to their derivatives
Han, Qi ; Hu, Pei-Chu
Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 905-918 / Harvested from Project Euclid
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In this paper, we shall study the unicity of meromorphic functions defined over non-Archimedean fields of characteristic zero such that their valence functions of poles grow slower than their characteristic functions. If $f$ is such a function, and $f$ and a linear differential polynomial $P(f)$ of $f$, whose coefficients are meromorphic functions growing slower than $f$, share one finite value $a$ CM, and share another finite value $b\ (\not=a)$ IM, then $P(f)=f$.
Publié le : 2007-12-14
Classification:  uniqueness of meromorphic functions,  value sharing,  Nevanlinna theory,  non-Archimedean analysis,  12J25,  46S10 
@article{1197908902,
     author = {Han, Qi and Hu, Pei-Chu},
     title = {Unicity of meromorphic functions related to their derivatives},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 905-918},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1197908902}
}

Han, Qi; Hu, Pei-Chu. Unicity of meromorphic functions related to their derivatives. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  905-918. http://gdmltest.u-ga.fr/item/1197908902/