On the alternating sums of powers of consecutive q-integers

2005/09/26 by Taekyun Kim, Kim, Taekyun
Mathematics · #11B68 #11S80 #Advanced Mathematical Identities #Advanced Mathematical Theories #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11B68 #msc:11S80

paper · pdf · doi:10.48550/arxiv.math/0509613

5 pages

arxiv created 2005/09/26 · openalex publication_date 2005/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we construct q-Genocchi numbers and polynomials. By using these numbers and polynomials, we investigate the q-analogue of alternating sums of powers of consecutive integers due to Euler.

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