On poly-Euler numbers. (English) Zbl 1403.11016
Summary: Poly-Euler numbers are introduced as a generalization of the Euler numbers in a manner similar to the introduction of the poly-Bernoulli numbers. In this paper, some number-theoretic properties of poly-Euler numbers, for example, explicit formulas, a Clausen-von Staudt type formula, congruence relations and duality formulas, are given together with their combinatorial properties.
MSC:
| 11B68 | Bernoulli and Euler numbers and polynomials |
References:
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