Vol. 28 (2018)
Articles

Note on the paper: A table of definite integrals from the marriage of power and Fourier series

Lazhar Bougoffa
Department of Mathematics, Al Imam Mohammad Ibn Saud Islamic University (IMSIU ), Riyadh, Saudi Arabia.
Randolph C. Rach
The George Adomian Center for Applied Mathematics, 316 South Maple Street, Hartford, MI 49057-1225, U.S.A.

Published 2018-05-16

Keywords

  • Fourier series,
  • Laurent series,
  • definite integrals.

How to Cite

Note on the paper: A table of definite integrals from the marriage of power and Fourier series. (2018). Scientia Series A: Mathematical Sciences, 28, 23-27. https://revistas.usm.cl/scientia/article/view/197

Abstract

This note develops a new technique to exactly evaluate definite integrals for a wide class of analytic integrands in the complex plane which are neither easily calculated nor conveniently tabulated or readily referenced. We examine the real and imaginary parts in particular after expanding these integrands in their corresponding Laurent series. This note may be considered as an extension of the referenced work [1]. 

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