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The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials

  • Published:2011-01 Issue:1 Volume:163 Page:22-40
  • ISSN:0021-9045
  • Container-title:Journal of Approximation Theory
  • language:en
  • Short-container-title:Journal of Approximation Theory

Author:

Navas Luis M.,Ruiz Francisco J.,Varona Juan L.

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference15 articles.

1. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables;Abramowitz,1972

2. Introduction to Analytic Number Theory;Apostol,1976

3. Evaluation of Dirichlet series;Balanzario;Amer. Math. Monthly,2001

4. Möbius inversion formulas for flows of arithmetic semigroups;Benito;J. Number Theory,2008

5. Möbius inversion from the point of view of arithmetical semigroup flows;Benito;Bibl. Rev. Mat. Iberoamericana,2008

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1. Values of certain Dirichlet series and higher derivative formulas of trigonometric functions;International Journal of Number Theory;2024-03-13

2. Beyond the Basel Problem, Part I;Mathematics Magazine;2023-02-15

3. Asymptotic behavior of Bernoulli-Dunkland Euler-Dunkl polynomials and their zeros;Functiones et Approximatio Commentarii Mathematici;2021-12-17

4. A method for summing Bessel series and a couple of illustrative examples;Proceedings of the American Mathematical Society;2021-12-01

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