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1. On a family of Euler-type numbers and polynomials

Author

Claudio Pita-Ruiz

Subjects
euler number, euler polynomial, generalized stirling number, Mathematics, QA1-939
Abstract

We consider a family of Euler-type polynomials, depending on a real parameter α 6= 0, 1. The case α = 2 corresponds to standard Euler polynomials. We show some properties of these polynomials, and show also two generalized recurrences. As consequences of these results, we obtain several explicit formulas for Euler numbers and polynomials.

Published
2023

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