Hyper-power series and generalized real analytic functions
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00605-023-01849-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7483 |
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oai:localhost:PNK-74832023-04-04T04:28:08Z Hyper-power series and generalized real analytic functions Diksha, Tiwari Akbarali, Mukhammadiev Paolo, Giordano non-Archimedean ring of Colombeau local uniform upper bounds of derivatives CC BY This article is a natural continuation of the paper Tiwari, D., Giordano, P., Hyperseries in the non-Archimedean ring of Colombeau generalized numbers in this journal. We study one variable hyper-power series by analyzing the notion of radius of convergence and proving classical results such as algebraic operations, composition and reciprocal of hyper-power series. We then define and study one variable generalized real analytic functions, considering their derivation, integration, a suitable formulation of the identity theorem and the characterization by local uniform upper bounds of derivatives. 2023-04-04T04:28:07Z 2023-04-04T04:28:07Z 2023 Book https://link.springer.com/article/10.1007/s00605-023-01849-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7483 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
non-Archimedean ring of Colombeau local uniform upper bounds of derivatives |
| spellingShingle |
non-Archimedean ring of Colombeau local uniform upper bounds of derivatives Diksha, Tiwari Akbarali, Mukhammadiev Paolo, Giordano Hyper-power series and generalized real analytic functions |
| description |
CC BY |
| format |
Book |
| author |
Diksha, Tiwari Akbarali, Mukhammadiev Paolo, Giordano |
| author_facet |
Diksha, Tiwari Akbarali, Mukhammadiev Paolo, Giordano |
| author_sort |
Diksha, Tiwari |
| title |
Hyper-power series and generalized real analytic functions |
| title_short |
Hyper-power series and generalized real analytic functions |
| title_full |
Hyper-power series and generalized real analytic functions |
| title_fullStr |
Hyper-power series and generalized real analytic functions |
| title_full_unstemmed |
Hyper-power series and generalized real analytic functions |
| title_sort |
hyper-power series and generalized real analytic functions |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s00605-023-01849-8 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7483 |
| _version_ |
1762274898755977216 |
| score |
8.891787 |