{ "id": "1312.7838", "version": "v1", "published": "2013-12-25T15:09:34.000Z", "updated": "2013-12-25T15:09:34.000Z", "title": "The Legendre polynomials associated with Bernoulli, Euler, Hermite and Bernstein polynomials", "authors": [ "Serkan Araci", "Mehmet Acikgoz", "Armen Bagdasaryan", "Erdogan Sen" ], "journal": "Turkish J Analysis Number Theory 1 (2013) 1-3", "categories": [ "math.NT", "math.CA" ], "abstract": "In the present paper, we deal mainly with arithmetic properties of Legendre polynomials by using their orthogonality property. We show that Legendre polynomials are proportional with Bernoulli, Euler, Hermite and Bernstein polynomials.", "revisions": [ { "version": "v1", "updated": "2013-12-25T15:09:34.000Z" } ], "analyses": { "keywords": [ "legendre polynomials", "bernstein polynomials", "arithmetic properties", "orthogonality property" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1312.7838A" } } }