November 2023 New Definition of Fractional Analytic Functions
Mohammad Adm, Roshdi Khalil
Missouri J. Math. Sci. 35(2): 194-209 (November 2023). DOI: 10.35834/2023/3502194

Abstract

In this paper we give a new definition of fractional analytic functions which proved to be more useful and it will have more powerful and impact on the theory than other definitions. We use the new definition to develop theory of fractional analytic functions which includes fractional Cauchy-Riemann equations and fractional Cauchy integral formula.

Citation

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Mohammad Adm. Roshdi Khalil. "New Definition of Fractional Analytic Functions." Missouri J. Math. Sci. 35 (2) 194 - 209, November 2023. https://doi.org/10.35834/2023/3502194

Information

Published: November 2023
First available in Project Euclid: 28 November 2023

Digital Object Identifier: 10.35834/2023/3502194

Subjects:
Primary: 26A33
Secondary: 34A55

Keywords: analytic functions , Fractional Cauchy Formula , fractional derivative

Rights: Copyright © 2023 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.35 • No. 2 • Nov 2023
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