Summary: We investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011). Also, we exhibit some examples to show that the conditions of our results are the best possible.
[4] Laine, I.: Nevanlinna Theory and Complex Differential Equations. de Gruyter Studies in Mathematics 15. Walter de Gruyter, Berlin (1993). DOI 10.1515/9783110863147 | MR 1207139 | Zbl 0784.30002
[8] Mues, E., Steinmetz, N.: Meromorphe Funktionen, die mit ihrer Ableitung Werte teilen. Manuscr. Math. 29 (1979), 195-206 German. DOI 10.1007/BF01303627 | MR 0545041 | Zbl 0416.30028
[9] Rubel, L. A., Yang, C.-C.: Values shared by an entire function and its derivative. Complex Analysis Lecture Notes in Mathematics 599. Springer, Berlin (1977), 101-103. DOI 10.1007/BFb0096830 | MR 0460640 | Zbl 0362.30026