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

2005/03/04 by Yılmaz Şimşek, Y. Simsek, D. Kim +7
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #math.NT #msc:11B68

paper · pdf · doi:10.48550/arxiv.math/0503073

10 pages

arxiv created 2005/03/04 · arxiv updated 2009/12/01

Abstract

In this paper we construct the q-analogue of Barnes' Bernoulli numbers and plynomials of degree 2, which is an answer to a part of Schlosser's question. Finally, we treat the q-analogue of the sums of powers of consecutive integrs.

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