Meromorphically Normal Families in Several Variables

Datt, G (2022) Meromorphically Normal Families in Several Variables. In: Computational Methods and Function Theory, 22 (2). pp. 307-321.

PDF com__met_fun_the_22-2_307-321_2022 .pdf - Published Version Restricted to Registered users only Download (316kB) | Request a copy

Abstract

In this paper, we present various sufficient conditions for a family of meromorphic mappings on a domain D⊂ Cm into Pn to be meromorphically normal. Meromorphic normality is a notion of sequential compactness in the meromorphic category introduced by Fujimoto. We give a general condition for meromorphic normality that is influenced by Fujimoto’s work. The approach to proving this result allows us to establish meromorphic analogues of several recent results on normal families of Pn-valued holomorphic mappings.

Item Type:	Journal Article
Publication:	Computational Methods and Function Theory
Publisher:	Springer Science and Business Media Deutschland GmbH
Additional Information:	The copyright for this article belongs to the Springer Science and Business Media Deutschland GmbH.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	24 Jun 2022 10:14
Last Modified:	24 Jun 2022 10:14
URI:	https://eprints.iisc.ac.in/id/eprint/73629

Actions (login required)

View Item