GENERALIZATION OF NONLINEAR DIFFERENTIAL POLYNOMIALS SHARING 1-POINTS

Uniqueness of nonlinear differential polynomials sharing simple and double 1-points

Let f and g be two nonconstant meromorphic functions defined in the open complex plane C. Let k be a positive integer or infinity and a ∈ C∪{∞}. We denote by Ek)(a; f ) the set of all a-points of f with multiplicities not exceeding k, where an a-point is counted according to its multiplicity. If for some a ∈ C∪{∞}, E∞)(a; f ) = E∞)(a;g), we say that f , g share the value a CM (counting multipli...

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 of meromorphic functions ans Q-differential polynomials sharing small functions

‎The paper concerns interesting problems related to the field of Complex Analysis‎, ‎in particular, Nevanlinna theory of meromorphic‎ ‎functions‎. ‎We have studied certain uniqueness problem on differential polynomials of meromorphic functions sharing a‎ ‎small function‎. ‎Outside‎, ‎in this paper‎, ‎we also consider the uniqueness of $q-$ shift difference‎ - ‎differential polynomials‎ ‎of mero...

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