Abstract
In this paper, the theorems concerning the summatio of Fourier series with parameter are given by using the Laplace transforms. By means of the known result of Laplace transforms, many new, important problems of summation of Fourier series with parameter in mechanics can be solved.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Yan Zong-da,Fourier Series Solutions in Structural Mechanics, Tianjin University Publishing House, (1989), (in Chinese)
Harry, F. Davis,Fourier Series and Orthogonal Functions, Allyn and Bacon. Boston (1963).
Chien Wei-zang, Summation of Trigonometric Series by Fourier Transforms.Applied Mathematics and Mechanics,10, 5 (1989), 385–397.
Author information
Authors and Affiliations
Additional information
Communicated by Long Yu-qiu
Rights and permissions
About this article
Cite this article
Xiao-ming, B. Summation of fourier series with parameter by Laplace tranforms. Appl Math Mech 14, 859–866 (1993). https://doi.org/10.1007/BF02457480
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02457480