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

2006/04/10 by T. Kim, Kim, T. · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.math/0604227

6 pages

arxiv created 2006/04/10 · arxiv updated 2009/12/01

Abstract

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.

Cited by

• p-adic l-functions and sums of powers
• p-adic q-expansion of alternating sums of powers

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