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).
@article{bwmeta1.element.bwnjournal-article-doi-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}, volume = {105}, year = {2012}, pages = {81-96}, zbl = {1246.30062}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-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 105 (2012) pp. 81-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-1-6/