{ "id": "1503.04893", "version": "v1", "published": "2015-03-17T02:06:47.000Z", "updated": "2015-03-17T02:06:47.000Z", "title": "Some identities of q-Bernoulli polynomials under symmetry group S3", "authors": [ "Dmitry V. Dolgy", "Dae San Kim", "taekyun Kim" ], "comment": "13", "categories": [ "math.NT" ], "abstract": "In this paper, we give some new identities of Carlitz q-Bernoulli polynomials under symmetry group S 3 . The derivatives of identities are based on the q-Volkenborn integral expression of the generating function for the Carlitz q-Bernoulli polynomials and the q-Volkenborn integral equations that can be expressed as the exponential generating functions for the q-power sums.", "revisions": [ { "version": "v1", "updated": "2015-03-17T02:06:47.000Z" } ], "analyses": { "subjects": [ "11B68", "11S80" ], "keywords": [ "symmetry group s3", "identities", "carlitz q-bernoulli polynomials", "q-volkenborn integral expression", "q-volkenborn integral equations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }