Fatou-Julia dichotomy of matrix-valued polynomials

dc.contributor.author	PAL, RATNA	en_US
dc.date.accessioned	2019-03-26T10:01:03Z
dc.date.available	2019-03-26T10:01:03Z
dc.date.issued	2019-05	en_US
dc.identifier.citation	Journal of Mathematical Analysis and Applications, 473(2), 918-933.	en_US
dc.identifier.issn	0022-247X	en_US
dc.identifier.issn	1096-0813	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2376
dc.identifier.uri	https://doi.org/10.1016/j.jmaa.2018.12.080	en_US
dc.description.abstract	This article gives a precise description of the Fatou sets and Julia sets of matrix-valued polynomials in M(2,C) in terms of the corresponding polynomials in C. A normality criterion given by Aladro Krantz ([1]) plays a crucial role in proving this result. Further, we construct Green functions and Bottcher-type functions for these matrix-valued polynomials.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier B.V.	en_US
dc.subject	Matrix-valued polynomial	en_US
dc.subject	Julia set	en_US
dc.subject	Fatou set	en_US
dc.subject	Green functions	en_US
dc.subject	TOC-MAR-2019	en_US
dc.subject	2019	en_US
dc.title	Fatou-Julia dichotomy of matrix-valued polynomials	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of Mathematical Analysis and Applications	en_US
dc.publication.originofpublisher	Foreign	en_US