Some Expansions in Basic Fourier Series

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


Our main objective in this chapter is to present explicit expansions of many elementary and q-functions in basic Fourier series. This leads, in a natural way, to a new class of formulas never investigated before from the I an analytical and/or numerical point of view [26], [146]. In our presentation y most of the material can be read independently from Chapters 7 and 8, but we assume that the reader is familiar with the investigation of the basic Fourier series in Chapters 5 and 6 and with the evaluation of certain integrals in Chapter 4.


Analytic Continuation Computer Algebra System Orthogonality Relation Orthogonality Property Wilson Polynomial 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

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

Personalised recommendations