Note on the sums of powers of consecutive q-integers

2005/03/11 by Yılmaz Şimşek, Simsek, Y., D. Kim +5
Mathematics · #11B68 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.math/0503209

openalex publication_date 2005/03/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we construct the q-analogue of Barnes's Bernoulli numbers and polynomials of degree 2, for positive even integers, which is an answer to a part of Schlosser's question. For positive odd integers, Schlosser's question is still open. Finally, we will treat the q-analogue of the sums of powers of consecutive integers.

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