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http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2376| Title: | Fatou-Julia dichotomy of matrix-valued polynomials |
| Authors: | PAL, RATNA Dept. of Mathematics |
| Keywords: | Matrix-valued polynomial Julia set Fatou set Green functions TOC-MAR-2019 2019 |
| Issue Date: | May-2019 |
| Publisher: | Elsevier B.V. |
| Citation: | Journal of Mathematical Analysis and Applications, 473(2), 918-933. |
| 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. |
| URI: | http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/2376 https://doi.org/10.1016/j.jmaa.2018.12.080 |
| ISSN: | 0022-247X 1096-0813 |
| Appears in Collections: | JOURNAL ARTICLES |
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