Linear differential polynomials sharing the same 1-points with weight two

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 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...

Fractional differential equations with Legendre polynomials

Equivalence of Linear Codes with the Same Weight Enumerator

Two equivalent linear codes have the same weight enumerator but the converse does not hold. We investigate which code is unique up to equivalence in view of the weight enumerator. The main purpose of this paper is to investigate the weight enumerators associated to the only one equivalent class of linear codes and to construct these codes. Furthermore, we construct non-equivalent linear codes w...

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].