A Study on Fractional Fourier Series of Four Types of Matrix Fractional Functions

Chii-Huei Yu

Abstract: In this paper, based on a new multiplication of fractional analytic functions, we find the fractional Fourier series of four 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 ordinary calculus results. 

Keywords: New multiplication, fractional analytic functions, fractional Fourier series, matrix fractional functions.

Title: A Study on Fractional Fourier Series of Four Types of Matrix Fractional Functions

Author: Chii-Huei Yu

International Journal of Computer Science and Information Technology Research

ISSN 2348-1196 (print), ISSN 2348-120X (online)

Vol. 12, Issue 4, October 2024 - December 2024

Page No: 34-38

Research Publish Journals

Website: www.researchpublish.com

Published Date: 18-November-2024

DOI: https://doi.org/10.5281/zenodo.14177896

Vol. 12, Issue 4, October 2024 - December 2024

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A Study on Fractional Fourier Series of Four Types of Matrix Fractional Functions by Chii-Huei Yu