Uniqueness of an Entire Function with its Derivatives Sharing Two Polynomials.

The uniqueness problems of entire function that share a non-zero finite value have been studied and many results on this topic have been obtained. In this paper we prove a uniqueness theorem for an entire function, which shares polynomials with its higher order derivatives. In particular, the result of the paper is an improvement of the corresponding results of H. Zhong [8] and I. Lahiri and G.K. Ghosh [5]. [ABSTRACT FROM AUTHOR]