English

The simultaneous multiplication formulas for Apostol-Bernoulli polynomials and generalized Frobenius-Euler polynomials

Number Theory 2023-01-10 v1 Combinatorics

Abstract

We prove the simultaneous multiplication formulas for Apostol-Bernoulli polynomials and generalized Frobenius-Euler polynomials. These formulas contain Dedekind-Rademacher sums, Apostol-Dedekind sums and Fourier-Dedekind sums.

Keywords

Cite

@article{arxiv.2301.03255,
  title  = {The simultaneous multiplication formulas for Apostol-Bernoulli polynomials and generalized Frobenius-Euler polynomials},
  author = {Gennadiy Ilyuta},
  journal= {arXiv preprint arXiv:2301.03255},
  year   = {2023}
}

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in Russian

R2 v1 2026-06-28T08:07:20.029Z