Numerical Investigation of Basic Fourier Series

  • Sergei K. Suslov
Part of the Developments in Mathematics book series (DEVM, volume 9)

Abstract

Our main objective in this chapter is to discuss several computational aspects of the theory of basic Fourier series. This includes numerical evaluation of the zeros of basic trigonometric functions, study of their bounds and asymptotics, and numerical examples demonstrating convergence of the q-Fourier series. Most of this material appeared in our joint paper with Bill Gosper [48], who wrote the special Macsyma program “namesum” for numerical evaluation of infinite sums and infinite products.

Keywords

Numerical Investigation Summation Formula Orthogonality Relation Positive Zero Infinite Product 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Sergei K. Suslov
    • 1
  1. 1.Department of Mathematics and StatisticsArizona State UniversityTempeUSA

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