On value distribution and uniqueness of meromorphic function with finite logarithmic order concerning its derivative and q-shift difference

被引：2

作者：

Zheng, Xiu-Min ^{[1
]}

Xu, Hong-Yan ^{[2
]}

机构：

[1] Jiangxi Normal Univ, Inst Math & Informat Sci, Nanchang 330022, Peoples R China

[2] Jingdezhen Ceram Inst, Dept Informat & Engn, Jingdezhen 333403, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

基金：

中国国家自然科学基金;

关键词：

differential-q-shift-difference; meromorphic function; logarithmic order; EQUATIONS; POLYNOMIALS;

D O I：

10.1186/1029-242X-2014-295

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the value distribution of a meromorphic function f(z) concerning its derivative f'(z) and q-shift difference f(qz + c), where f(z) is of finite logarithmic order. We also investigate the uniqueness of differential-q-shift-difference polynomials with more general forms of entire functions of order zero.

引用

页数：11

共 15 条

[1] On value distribution and uniqueness of meromorphic function with finite logarithmic order concerning its derivative and q-shift difference
Xiu-Min Zheng
Hong-Yan Xu
[J]. Journal of Inequalities and Applications, 2014
[2] Value Distribution and Uniqueness Results of Zero-Order Meromorphic Functions to Their q-Shift
Guan, Haiwa
Wang, Gang
Luo, Qiuqin
[J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
[3] UNIQUENESS OF q-SHIFT DIFFERENCE POLYNOMIALS OF MEROMORPHIC FUNCTIONS SHARING A SMALL FUNCTION
Dyavanal, Renukadevi S.
Desai, Rajalaxmi, V
[J]. MATHEMATICA BOHEMICA, 2020, 145 (03): : 241 - 253
[4] UNIQUENESS OF q-SHIFT DIFFERENCE-DIFFERENTIAL POLYNOMIAL OF MEROMORPHIC AND ENTIRE FUNCTION WITH ZERO-ORDER
Nagarjun, V.
Husna, V.
Veena
[J]. JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2023, 41 (02): : 247 - 263
[5] Uniqueness and value distribution for difference operators of meromorphic function
Xiaoguang Qi
Jia Dou
Lianzhong Yang
[J]. Advances in Difference Equations, 2012
[6] Uniqueness and value distribution for difference operators of meromorphic function
Qi, Xiaoguang
Dou, Jia
Yang, Lianzhong
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 9
[7] Transcendental Singularities for a Meromorphic Function with Logarithmic Derivative of Finite Lower Order
Langley, J. K.
[J]. COMPUTATIONAL METHODS AND FUNCTION THEORY, 2019, 19 (01) : 117 - 133
[8] Transcendental Singularities for a Meromorphic Function with Logarithmic Derivative of Finite Lower Order
J. K. Langley
[J]. Computational Methods and Function Theory, 2019, 19 : 117 - 133
[9] The value distribution of solutions of some types of q-shift difference Riccati equations
Chen, Yu Xian
Xu, Hong Yan
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2015, 19 (03) : 490 - 499
[10] Uniqueness Result Concerning First Derivative and Difference of a Meromorphic Function and Sufficient Condition for Periodicity
Majumder, S.
Sarkar, N.
[J]. JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2024, 59 (03): : 199 - 208

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