Item Infomation


Title: 
Hyper-power series and generalized real analytic functions
Authors: 
Diksha, Tiwari
Akbarali, Mukhammadiev
Paolo, Giordano
Issue Date: 
2023
Publisher: 
Springer
Abstract: 
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.
Description: 
CC BY
URI: 
https://link.springer.com/article/10.1007/s00605-023-01849-8
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7483
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