Pulak Sahoo

Uniqueness of Non-Linear Differential Polynomials Sharing 1-Points

Abstract We prove two theorems on the uniqueness of nonlinear differential polynomials sharing 1-points which improve an earlier result of Fang and Hong.

Uniqueness of meromorphic functions sharing a nonzero polynomial with finite weight

With the aid of weighted value sharing we study the uniqueness of meromorphic functions concerning nonlinear differential polynomials that share a nonzero polynomial and prove a uniqueness theorem which improve a result due to X.M. Li and L. Gao [Bull. Korean Math. Soc. 47(2010), 319–339] as well as two recent results of the present author [Vietnam J. Math. 39:1(2011), 49–62] and [Math. Bohemica 137:3(2012)].

Meromorphic functions whose certain differential polynomials share a small function with finite weight

Abstract With the notion of weighted sharing of values we study the uniqueness of meromorphic functions whose certain nonlinear differential polynomials share a small function. Our result improves a recent result due to A. Banerjee [Kyungpook Math. J., 51 (2011), 43–58] and that of the results of J. Xia and Y. Xu [Filomat J. Math., 25 (2011), 185–194].

Some results on uniqueness of meromorphic functions sharing a polynomial

Abstract In this paper, with the aid of weighted value sharing we study the uniqueness problems of meromorphic functions when certain nonlinear differential polynomials generated by them share a nonconstant polynomial with weight two. The result of the paper not only improves the results due to the present first author [Bull. Math. Anal. Appl., 2(2010), 106-118] and of Zhang and Xu [Comput. Math. Appl., 61(2011), 722-730], at the same time finds a possible answer of an open question posed by Zhang and Xu.

Uniqueness of meromorphic functions and nonlinear differential polynomials sharing a nonzero polynomial

Abstract In the paper, we study the uniqueness of meromorphic functions when certain nonlinear differential polynomials share a nonzero polynomial. The results of the paper improves two recent results due to [LI, X. M.—YI, H. X.: Uniqueness of meromorphic functions whose certain nonlinear differential polynomials share a polynomial, Comput. Math. Appl. 62 (2011), 539–550].

ON A UNIQUENESS THEOREM OF H. UEDA

We prove a uniqueness theorem for meromorphic functions sharing three weighted values which improves some existing results.