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An analogue of Kummer congruences for \(q\)-Euler numbers. (Un analogue des congruences de Kummer pour les \(q\)-nombres d’Euler.) (French) Zbl 0485.05006

Es werden \(q\)-Euler-Polynome \(E_{n,n}(q)\) studiert, wobei \(E_{n,n}(1)=E_{n+n}\) die üblichen Euler-Zahlen sind. Das Hauptresultat stellt ein \(q\)-Analogon der Kummerschen Kongruenzen für Euler-Zahlen dar. Ausserdem wird eine kombinatorische Interpretation der \(E_{n,n}(q)\) gegeben.
Reviewer: J. Cigler

MSC:

11B68 Bernoulli and Euler numbers and polynomials
05A15 Exact enumeration problems, generating functions
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References:

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