Nonlinear differential polynomials sharing a non-zero polynomial with finite weight

Nonlinear Differential Polynomials Sharing a Small Function

Dealing with a question of Lahiri [6] we study the uniqueness problem of meromorphic functions concerning two nonlinear differential polynomials sharing a small function. Our results will not only improve and supplement the results of Lin-Yi [16], Lahiri Sarkar [12] but also improve and supplement a very recent result of the first author [1].

Uniqueness and Differential Polynomials of Meromorphic Functions Sharing a Polynomial

In this paper, we deal with the uniqueness problems of meromorphic functions when certain nonlinear differential polynomials generated by them share a nonconstant polynomial counting multiplicities by considering that the functions share in nity, ignoring multiplicities. The research ndings also include IM-analogues of the theorem in which the nonconstant polynomial is allowed to be shared igno...

Meromorphic functions concerning their differential polynomials sharing the fixed-points with finite weight

This paper deals with some uniqueness problems of meromorphic functions concerning their differential polynomials sharing the fixed-points or a small function with finite weight. These results in this paper greatly improve the recent results given by X.-Y. Zhang& J.-F. Chen and W.C. Lin[X.-Y. Zhang, J.-F. Chen, W.C. Lin , Entire or meromorphic functions sharing one value, Comput. Math. Appl. 56...

Uniqueness of Transcendental Meromorphic Functions with Their Nonlinear Differential Polynomials Sharing the Small Function

Fractional differential equations with Legendre polynomials