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Rational Approximations for Irrational Functions using Collocating Continued Fraction Expansions

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posted on 22.02.2021, 17:44 by philip olivier

This paper is motivated by the need in certain engineering contexts to construct approximations for irrational functions in the complex variable z. The main mathematical tool that will be used is a special continued fraction expansion that cause the rational approximant to collocate the irrational function at specific important values of z. This paper introduces two theorems that facilitate the construction of the rational approxima- tion.

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Email Address of Submitting Author

philip_d_olivier@ieee.org

ORCID of Submitting Author

https://orcid.org/0000-0003-3801-5745

Submitting Author's Institution

Engineering Analysis and Design

Submitting Author's Country

United States of America

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