{ "id": "2008.00001", "version": "v1", "published": "2020-07-31T08:40:35.000Z", "updated": "2020-07-31T08:40:35.000Z", "title": "$q$-difference equations for homogeneous $q$-difference operators and their applications", "authors": [ "Sama Arjika" ], "comment": "10", "journal": "Journal of Difference Equations and Applications (2020)", "doi": "10.1080/10236198.2020.1804888", "categories": [ "math.CA" ], "abstract": "In this short paper, we show how to deduce several types of generating functions from Srivastava {\\it et al} [Appl. Set-Valued Anal. Optim. {\\bf 1} (2019), pp. 187-201.] by the method of $q$-difference equations. Moreover, we build relations between transformation formulas and homogeneous $q$-difference equations.", "revisions": [ { "version": "v1", "updated": "2020-07-31T08:40:35.000Z" } ], "analyses": { "subjects": [ "05A30", "33D15", "33D45", "05A40", "11B65" ], "keywords": [ "difference equations", "difference operators", "applications", "homogeneous", "short paper" ], "tags": [ "journal article" ], "publication": { "publisher": "Taylor-Francis" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }