UNIQUENESS PROPERTIES OF MEROMORPHIC FUNCTIONS IN THE LIGHT OF THREE SHARED SETS

被引：2

作者：

Banerjee, Abhijit ^{[1
]}

Mallick, Sanjay ^{[2
]}

机构：

[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India

[2] Cooch Behar Panchanan Barma Univ, Dept Math, Cooch Behar 736101, W Bengal, India

来源：

MATHEMATICA SLOVACA | 2018年 / 68卷 / 03期

关键词：

meromorphic functions; uniqueness; weighted sharing; shared sets;

D O I：

10.1515/ms-2017-0127

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use the notion of weighted sharing of sets to improve a number of results in the uniqueness theory of meromorphic functions sharing three sets. We have also presented a new idea in the formation of one of the range sets in connection with the three shared set problems, which ultimately yields a better result than many existing result in some sense. (C) 2018 Mathematical Institute Slovak Academy of Sciences

引用

页码：591 / 606

页数：16

共 16 条

[1]

Alzahary T.C., 2004, COMPLEX VAR THEORY A, V49, P1063

[2]

Alzahary TC, 2007, KYUNGPOOK MATH J, V47, P57

[3]

Banerjee A., 2015, SURV MATH APPL, V10, P95

[4] On the Characterisations of a New Class of Strong Uniqueness Polynomials Generating Unique Range Sets [J].

Banerjee, Abhijit ;

Mallick, Sanjay .

COMPUTATIONAL METHODS AND FUNCTION THEORY, 2017, 17 (01) :19-45

[5] Uniqueness and set sharing of derivatives of meromorphic functions [J].

Banerjee, Abhijit ;

Bhattacharjee, Pranab .

MATHEMATICA SLOVACA, 2011, 61 (02) :197-214

[6]

Gross F., 1977, Lecture Notes in Math., V599, P51

[7]

Hayman W. K., 1964, Meromorphic functions

[8] Weighted sharing and uniqueness of meromorphic functions [J].

Lahiri, I .

NAGOYA MATHEMATICAL JOURNAL, 2001, 161 :193-206

[9]

Lahiri I., 2001, Complex Variables Theory Appl., V46, P241

[10]

Lahiri I, 2006, KYUNGPOOK MATH J, V46, P79

← 1 2 →