On the uniqueness problems of entire functions and their linear differential polynomials

Kodai Mathematical Journal

Qi Han¹  Hong-Xun Yi¹ 

[1] Department of Mathematics Shandong University Jinan

关键词: Nevanlinna theory;    Wiman-Valiron estimate;    entire function;    linear differential polynomials;   

DOI  :  10.2996/kmj/1175287622

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(21)The uniqueness problems on transcendental meromorphic or entire functions sharing at least two values with their derivatives or linear differential polynomials have been studied and many results on this topic have been obtained. In this paper, we study a transcendental entire function f (z) that shares a non-zero polynomial a (z) with f′ (z), together with its linear differential polynomials of the form: L [f] = a2 (z)f″ (z) + a3 (z)f′′′ (z) + ··· + am (z)f (m) (z) (am (z) $¥not¥equiv$ 0), where the coefficients ak (z) (k = 2, 3, ..., m) are rational functions.

【 授权许可】

Unknown