Roelands, Mark, Schwanke, C. (2019) Series and power series on universally complete complex vector lattices. Journal of Mathematical Analysis and Applications, 473 (2). pp. 680-694. ISSN 0022-247X. (doi:10.1016/j.jmaa.2018.12.041) (KAR id:80086)
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| Official URL: https://doi.org/10.1016/j.jmaa.2018.12.041 |
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Abstract
In this paper we prove an nth root test for series as well as a Cauchy–Hadamard type formula and Abel's' theorem for power series on universally complete Archimedean complex vector lattices. These results are aimed at developing an alternative approach to the classical theory of complex series and power series using the notion of order convergence.
| Item Type: | Article |
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| DOI/Identification number: | 10.1016/j.jmaa.2018.12.041 |
| Uncontrolled keywords: | Series, Power series, Complex vector lattice, Order convergence, Complex analysis |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Mark Roelands |
| Date Deposited: | 17 Feb 2020 13:44 UTC |
| Last Modified: | 09 Dec 2022 06:56 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/80086 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Roelands, Mark.
| Creator's ORCID: |
 https://orcid.org/0000-0002-8885-9156
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