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2024/104/1-2 (8) — DOI: 10.5486/PMD.2024.9653 — pp. 159-170

Indecomposability of mixed linear combinations of Bernoulli and Euler polynomials

Authors: Ákos Pintér Orcid.org link for Ákos Pintér and Csaba Rakaczki Orcid.org link for Csaba Rakaczki

Abstract:

In the present paper, we prove that the general integer linear combination of several Bernoulli and Euler polynomials with odd degree is always indecomposable over the field of complex numbers.

Keywords: Bernoulli polynomials, Euler polynomials, polynomial decomposability

Mathematics Subject Classification: 11B83, 11B68, 11R09