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Some identities of higher order Euler polynomials arising from Euler basis. (English) Zbl 1360.11040
Summary: The purpose of this paper is to present a systematic study of some families of higher order Euler numbers and polynomials. In particular, by using the basis property of higher order Euler polynomials for the space of polynomials of degree less than and equal to \(n\), we derive some interesting identities for the higher order Euler polynomials.

MSC:
11B68 Bernoulli and Euler numbers and polynomials
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[1] DOI: 10.1186/1687-1847-2012-95 · Zbl 1346.33008
[2] Kim D S, submitted to J. Inequal. Appl.
[3] Kim D S, Ars Combin.
[4] DOI: 10.1112/jlms/s1-34.3.361 · Zbl 0086.05801
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