Fourier Series And Fourier Integral Equations And Their Applications In Elasticity-Reference-Cited by-同舟云学术

Fourier Series And Fourier Integral Equations And Their Applications In Elasticity

Published:2022-05-01 Issue:1 Volume:2267 Page:012158
ISSN:1742-6588
Container-title:Journal of Physics: Conference Series
language:
Short-container-title:J. Phys.: Conf. Ser.

Author:

Awasthi A K,Rachna

Abstract

Abstract The role of Fourier Series and Fourier Integral Equations in both theoretical and applied mathematics is extremely important. The aim of this paper is to introduce the reader to some of the most critical aspects of historical development of Fourier series and Fourier integrals theory and applications. The paper is based on the work of Sneddon, Srivastva et al. on solving Dual Fourier series, Triple Fourier series and Quadruple Fourier series Equations by using various methods. The different methods for solving Dual integral equations, Triple integral equations and Quadruple integral equations given by Parihar, Tranter et al. will also be mentioned. Finally, some recent applications of these equations to the mathematical theory of elasticity also stated.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Link

https://iopscience.iop.org/article/10.1088/1742-6596/2267/1/012158/pdf

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4. Dual series relation IV Dual relations involving series of Jacobi polynomial;Srivastav;Proceedings of the royal society of Edinburgh section A : Mathematics,1964

5. Dual trigonometrical series;Tranter;Glasgow Mathematical Journal,1959

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