{ "id": "1401.2763", "version": "v1", "published": "2014-01-13T09:22:41.000Z", "updated": "2014-01-13T09:22:41.000Z", "title": "Identities of symmetry for higher-order q-Bernoulli polynomials", "authors": [ "Dae San Kim", "Taekyun Kim" ], "comment": "11", "categories": [ "math.NT" ], "abstract": "Recently, the higher-order Carlitz's q-Bernoulli polynomials are represented as q-Volkenborn integral on Zp by Kim. A question was asked in [13] as to finding the extended formulaeof symmetries for Bernoulli polynomials which are related to Carlitz q-Bernoulli polynomials. In this paper, we give some new identities of symmetry for the higher-order Carlitz q-Bernoulli polynomials whch are derived from multivariate q-Volkenborn integrals on Zp. We note that they are a partial answer to that question. .", "revisions": [ { "version": "v1", "updated": "2014-01-13T09:22:41.000Z" } ], "analyses": { "subjects": [ "11B68", "11S80" ], "keywords": [ "higher-order q-bernoulli polynomials", "identities", "higher-order carlitz q-bernoulli polynomials whch", "higher-order carlitzs q-bernoulli polynomials", "multivariate q-volkenborn integrals" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1401.2763S" } } }