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arxiv: math/0604227 · v1 · submitted 2006-04-10 · 🧮 math.NT

A note on the alternating sums of powers of consecutive q-integers

classification 🧮 math.NT
keywords alternatingconsecutivenumberspolynomialspowersq-integerssumsconstruct
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In this paper we construct a new q-Euler numbers and polynomials. By using these numbers and polynomials, we give the interesting formulae related to alternating sums of powers of consecutive q-integers following an idea due to Euler.

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