Evaluating Fractional Fourier Series of Two Types of Matrix Fractional Functions Based on a New Multiplication of Fractional Analytic Functions

Abstract: In this paper, based on a new multiplication of fractional analytic functions, we use some techniques to obtain the fractional Fourier series expansions of two types of matrix fractional functions. Matrix fractional Euler’s formula and matrix fractional DeMoivre’s formula play important roles in this article. In fact, our results are generalizations of the results in ordinary calculus. Keywords: New multiplication, fractional analytic functions, fractional Fourier series expansions, matrix fractional functions. Title: Evaluating Fractional Fourier Series of Two Types of Matrix Fractional Functions Based on a New Multiplication of Fractional Analytic Functions Author: Chii-Huei Yu International Journal of Interdisciplinary Research and Innovations ISSN 2348-1218 (print), ISSN 2348-1226 (online) Vol. 12, Issue 4, October 2024 - December 2024 Page No: 40-43 Research Publish Journals Website: www.researchpublish.com Published Date: 18-November-2024 DOI: https://doi.org/10.5281/zenodo.14177803 Paper Download Link (Source) https://www.researchpublish.com/papers/evaluating-fractional-fourier-series-of-two-types-of-matrix-fractional-functions-based-on-a-new-multiplication-of-fractional-analytic-functions