Bicomplex analogues of some normality criteria

被引：0

作者：

Pandita, Shivani ^{[1
]}

Bharti, Nikhil ^{[1
]}

机构：

[1] Univ Jammu, Dept Math, Jammu 180006, India

来源：

JOURNAL OF ANALYSIS | 2024年

关键词：

Bicomplex holomorphic functions; Bicomplex normal families; Sharing of bicomplex values; NORMAL-FAMILIES; MEROMORPHIC FUNCTIONS;

D O I：

10.1007/s41478-024-00817-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish bicomplex analogues of some well-known normality criteria of families of meromorphic functions. A simultaneous rescaling version of bicomplex Zalcman's lemma is obtained and as an application a bicomplex version of Caratheodory's normality criterion is proved. Moreover, an analogue of the famous Nevanlinna's five value theorem in bicomplex setting is also proved.

引用

页数：17

共 50 条

[31] SOME CHARACTERIZATIONS OF NORMALITY
CACOULLO.T
[J]. ANNALS OF MATHEMATICAL STATISTICS, 1966, 37 (05): : 1422 - &
[32] ON SOME GENERALIZATIONS OF NORMALITY
OGRYZKOV, AS
[J]. VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1991, (02): : 17 - 20
[33] SOME CHARACTERIZATIONS OF NORMALITY
CACOULLOS, T
[J]. SANKHYA-THE INDIAN JOURNAL OF STATISTICS SERIES A, 1967, 29 (DEC): : 399 - 404
[34] Normality Criteria for Families of Holomorphic Functions
王建平
[J]. Communications in Mathematical Research, 2003, (03) : 267 - 272
[35] Normality criteria involving differential polynomials
Virender Singh
Kuldeep Singh Charak
[J]. Boletín de la Sociedad Matemática Mexicana, 2020, 26 : 425 - 441
[36] NORMALITY CRITERIA FOR FAMILIES OF MEROMORPHIC FUNCTIONS
Kumar, Sanjay
Rani, Poonam
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2020, 51 (02): : 579 - 588
[37] Normality criteria and multiple values II
Xu, Yan
Chang, Jianming
[J]. ANNALES POLONICI MATHEMATICI, 2011, 102 (01) : 91 - 99
[38] Normality criteria concerning sharing values
Xu, Y
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1999, 30 (03): : 287 - 293
[39] On Some Q-Dual Bicomplex Jacobsthal Numbers
Halıcı, Serpil
Curuk, Sule
[J]. Springer Proceedings in Mathematics and Statistics, 2023, 414 : 175 - 189
[40] Some properties of binormal and complex symmetric bicomplex operators
Kumar, Dilip
[J]. MATERIALS TODAY-PROCEEDINGS, 2022, 57 : 2103 - 2105

← 1 2 3 4 5 →