{ "id": "1805.07787", "version": "v1", "published": "2018-05-20T16:15:56.000Z", "updated": "2018-05-20T16:15:56.000Z", "title": "$λ$-analogues of r-Stirling numbers of the first kind", "authors": [ "Taekyun Kim", "Dae san Kim" ], "comment": "12", "categories": [ "math.NT" ], "abstract": "In this paper, we study $\\lambda$-analogues of the r-Stirling numbers of the first kind which have close connections with the r-Stirling numbers of the first kind and $\\lambda$-Stirling numbers of the first kind. Specifically, we give the recurrence relations for these numbers and show their connections with the $\\lambda$-Stirling numbers of the first kind and higher-order Daehee polynomials.", "revisions": [ { "version": "v1", "updated": "2018-05-20T16:15:56.000Z" } ], "analyses": { "subjects": [ "11B73", "11B83" ], "keywords": [ "first kind", "r-stirling numbers", "higher-order daehee polynomials", "close connections", "recurrence relations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }