Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/40284
Title: | Starting with the differential: representation of monogenic functions by polynomials of non-monogenic variables |
Author: | Malonek, H. R. Cação, I. Falcão, M. I. Tomaz, G. |
Keywords: | Series expansion Functions and mappings Clifford Analysis Appell polynomials |
Issue Date: | 1-Sep-2023 |
Publisher: | American Institute of Physics |
Abstract: | This paper deals with different power series expansions of generalized holomorphic (monogenic) functions in the setting of Clifford Analysis. Our main concern are generalized Appell polynomials as a special class of monogenic polynomials which have been introduced in 2006 by two of the authors using several monogenic hypercomplex variables. We clarify the reasons why a particular pair of non-monogenic variables allows to obtain a power series expansion by those generalized Appell polynomials. The approach is based on the differential of a function. Some other monogenic polynomials as well as applications are mentioned. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/40284 |
DOI: | 10.1063/5.0162371 |
ISBN: | 978-0-7354-4589-5 |
ISSN: | 0094-243X |
Appears in Collections: | CIDMA - Capítulo de livro DMat - Capítulo de livro CHAG - Capítulo de livro |
Files in This Item:
File | Description | Size | Format | |
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Starting with the diff._RIA.pdf | 117.65 kB | Adobe PDF | View/Open |
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