Some expansions in basic Fourier series and related topics

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

We consider explicit expansions of some elementary and q-functions in basic Fourier series introduced recently by Bustoz and Suslov. Natural q-extensions of the Bernoulli and Euler polynomials, numbers, and the Riemann zeta function are discussed as a by-product.

Original languageEnglish (US)
Pages (from-to)289-353
Number of pages65
JournalJournal of Approximation Theory
Volume115
Issue number2
DOIs
StatePublished - Jan 1 2002

Keywords

  • Basic trigonometric functions
  • Fourier series
  • Orthogonality relations
  • The Bernoulli and Euler polynomials and numbers and their q-extensions
  • The Riemann zeta function and its q-extension
  • Trigonometric functions
  • q-Fourier series

ASJC Scopus subject areas

  • Analysis
  • Numerical Analysis
  • Mathematics(all)
  • Applied Mathematics

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