When an entire function and its linear differential polynomial share two values
Li, Ping ; Yang, Chung-Chun
Illinois J. Math., Tome 44 (2000) no. 4, p. 349-362 / Harvested from Project Euclid
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In this note, the relationship between a non-constant entire function $f$ and its linear differential polynomial $L(f)$ has been obtained when they share two finite values, ignoring multiplicities, by applying value distribution theory. This confirms Frank's conjecture as a special case. Entire solutions of certain types of non-linear differential equations are also discussed.
Publié le : 2000-06-15
Classification:  30D35,  30D20 
@article{1255984845,
     author = {Li, Ping and Yang, Chung-Chun},
     title = {When an entire function and its linear differential polynomial share two values},
     journal = {Illinois J. Math.},
     volume = {44},
     number = {4},
     year = {2000},
     pages = { 349-362},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1255984845}
}

Li, Ping; Yang, Chung-Chun. When an entire function and its linear differential polynomial share two values. Illinois J. Math., Tome 44 (2000) no. 4, pp.  349-362. http://gdmltest.u-ga.fr/item/1255984845/