A Comparison of Norms: Bicomplex Root and Ratio Tests and an Extension Theorem

DOI10.1080/00029890.2021.1898871zbMath1468.30087OpenAlexW3166397147MaRDI QIDQ4991614

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Publication date: 3 June 2021

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00029890.2021.1898871

zbMATH Keywords

bicomplex power seriesextension of complex-analytic functions to bicomplex-analytic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Power series (including lacunary series) in one complex variable (30B10)

Related Items (1)

Bicomplex hypergeometric function and its properties

Cites Work

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• Bicomplex quantum mechanics. II: The Hilbert space
• A bicomplex Riemann zeta function
• Bicomplex quantum mechanics. I: The generalized Schrödinger equation
• Bicomplex Numbers and their Elementary Functions
• Bicomplex Holomorphic Functions
• Quaternionic analysis
• Application of bicomplex (quaternion) algebra to fundamental electromagnetics: a lower order alternative to the Helmholtz equation
• Basics of Functional Analysis with Bicomplex Scalars, and Bicomplex Schur Analysis

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