Basic Bernoulli and Euler Polynomials and Numbers and q-Zeta Function

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


Certain q-Fourier expansions found in the previous chapter give us a possibility to introduce analogs of the Bernoulli polynomials and numbers, the Euler polynomials and numbers, and the Riemann zeta function [146]. We shall study some of their properties that are close to the classical ones.


Analytic Continuation Zeta Function Dirichlet Series Orthogonality Relation Bernoulli Polynomial 
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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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