{ "id": "2208.12998", "version": "v1", "published": "2022-08-27T12:37:45.000Z", "updated": "2022-08-27T12:37:45.000Z", "title": "Some results on degenerate harmonic numbers and degenerate Fubini polynomials", "authors": [ "Taekyun Kim", "Dae San Kim" ], "comment": "12 pages", "categories": [ "math.NT" ], "abstract": "In recent years, some degenerate versions of quite a few special numbers and polynomials are introduced and investigated by means of various methods. The aim of this paper is to study some results on degenerate harmonic numbers, degenerate hyperharmonic numbers, degenerate Fubi polynomials and degenerate r-Fubini polynomials from a general identity which is valid for any two formal power series and involves the degenerate r-Stirling numbers of the second kind.", "revisions": [ { "version": "v1", "updated": "2022-08-27T12:37:45.000Z" } ], "analyses": { "subjects": [ "11B73", "11B83" ], "keywords": [ "degenerate harmonic numbers", "degenerate fubini polynomials", "degenerate hyperharmonic numbers", "degenerate r-fubini polynomials", "formal power series" ], "note": { "typesetting": "TeX", "pages": 12, "language": "en", "license": "arXiv", "status": "editable" } } }