Article
| Title: | On the zeros of a quaternionic polynomial: An extension of the Eneström-Kakeya theorem (English) |
| Author: | Mir, Abdullah |
| Language: | English |
| Journal: | Czechoslovak Mathematical Journal |
| ISSN: | 0011-4642 (print) |
| ISSN: | 1572-9141 (online) |
| Volume: | 73 |
| Issue: | 3 |
| Year: | 2023 |
| Pages: | 649-662 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | We present some results on the location of zeros of regular polynomials of a quaternionic variable. We derive new bounds of Eneström-Kakeya type for the zeros of these polynomials by virtue of a maximum modulus theorem and the structure of the zero sets of a regular product established in the newly developed theory of regular functions and polynomials of a quaternionic variable. Our results extend some classical results from complex to the quaternionic setting as well. (English) |
| Keyword: | quaternionic polynomial |
| Keyword: | Eneström-Kakeya theorem |
| Keyword: | zero-sets of a regular product |
| MSC: | 16K20 |
| MSC: | 30E10 |
| MSC: | 30G35 |
| idZBL: | Zbl 07729530 |
| idMR: | MR4632850 |
| DOI: | 10.21136/CMJ.2023.0097-22 |
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| Date available: | 2023-08-11T14:19:12Z |
| Last updated: | 2023-09-13 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/151766 |
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