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

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