A link between the Fourier and Heaviside representations of the square wave

DOI10.1080/0020739920230113zbMath0773.42002OpenAlexW2046180147MaRDI QIDQ4008228

J. M. H. Peters

Publication date: 27 September 1992

Published in: International Journal of Mathematical Education in Science and Technology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/0020739920230113

zbMATH Keywords

Laplace transformFourier expansionlinear differential equationsFourier seriesperiodic functionclassroom noteHeaviside representationodd periodic extension of the square wave

Mathematics Subject Classification ID

Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Laplace transform (44A10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Cites Work

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• A theorem on Widder's potential transform and its applications
• A Parseval-Goldstein type theorem on the Widder potential transform and its applications
• A transform related to the Poisson integral for a half-plane
• On Goldstein’s variance bound
• Polynomial solutions of certain classes of ordinary differential equations
• A Parseval-type Theorem Applied to Certain Integral Transforms
• A note on the Widder transform related to the Poisson integral for a half‐plane†
• A note on the expected value of an inverse matrix
• The Maximum Variance of Restricted Unimodal Distributions
• On Distribution-Free Confidence Bounds for PrY < X
• On Dependent Tests of Significance in the Analysis of Variance

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