Open AccessTHE SUMMATION OF CERTAIN FOURIER SERIES
Author(s) -
Lin Wei-Guan
Publication year - 1955
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.11.429
Subject(s) - fourier series , series (stratigraphy) , fourier transform , discrete fourier series , geometric series , fourier analysis , function (biology) , computer science , series and parallel circuits , mathematical analysis , physics , mathematics , voltage , short time fourier transform , power series , paleontology , evolutionary biology , biology , quantum mechanics
A method is presented here to sum certain type of Fourier series. The series is treated as a response function of a linear electric circuit with lumped constants. This electric circuit, subjected to the action of an external force expressed in the form of another Fourier series derived from the original series to be summed can be formed by inspection or by network synthesis. If this derived series can be put into a closed form, then by applying the steady-state operational technique to this electric circuit, the original series can be expressed in a closed form or in a graphical form.