Infinite Series Expressions for the Values of Some Fractional Analytic Functions

Chii-Huei Yu

Abstract: In this paper, we find the infinite series expressions for the values of some fractional analytic functions. Jumarie’s modified Riemann-Liouville (R-L) fractional calculus and a new multiplication of fractional analytic functions play important roles in this article. In fact, our results are generalizations of classical calculus results. 

Keywords: Infinite series expressions, fractional analytic functions, Jumarie’s modified R-L fractional calculus, new multiplication.

Title: Infinite Series Expressions for the Values of Some Fractional Analytic Functions

Author: Chii-Huei Yu

International Journal of Interdisciplinary Research and Innovations

ISSN 2348-1218 (print), ISSN 2348-1226 (online)

Vol. 11, Issue 1, January 2023 - March 2023

Page No: 80-85

Research Publish Journals

Website: www.researchpublish.com

Published Date: 27-March-2023

DOI: https://doi.org/10.5281/zenodo.7774600

Vol. 11, Issue 1, January 2023 - March 2023

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Infinite Series Expressions for the Values of Some Fractional Analytic Functions by Chii-Huei Yu