journal-of-interdisciplinary-mathematics Journal of Interdisciplinary Mathematics 2169-012X 0972-0502 Taru Publications 10.47974/JIM-2352 Fourier series analysis and computation based on function characteristics Sripanya Warin Division of Mathematics, Nakhon Pathom Rajabhat University, Nakhon Pathom, 73000, Thailand Rungrottheera Wannarut Department of Mathematics, Silpakorn University, Nakhon Pathom, 73000, Thailand Hyunsin Pacharapol Department of Mathematics, Silpakorn University, Nakhon Pathom, 73000, Thailand 28 6 2109 2120 30 09 2025

This paper aims to study the Fourier series of a function defined on the interval [–l/2, 0] under various conditions. Furthermore, when a function is given on [a, b], its Fourier series is obtained by applying a suitable transformation to an associated function defined on either [–l, l] or [0, l].

 Fourier series Fourier sine series Fourier cosine series Fourier coefficients access open retracted no