International Journal of Mathematics and Mathematical Sciences, 2012, Vol.2012, p.1-15
2012
Details
- Autor(en) / Beteiligte
- Titel
- Euler Basis, Identities, and Their Applications
- Ist Teil von
- International Journal of Mathematics and Mathematical Sciences, 2012, Vol.2012, p.1-15
- Ort / Verlag
- New York: Hindawi Limiteds
- Erscheinungsjahr
- 2012
- Link zum Volltext
- Quelle
- EZB Free E-Journals
- Beschreibungen/Notizen
- Let Vn={p(x)∈ℚ[x]|deg p(x)≤n} be the (n+1)-dimensional vector space over ℚ. We show that {E0(x),E1(x),…,En(x)} is a good basis for the space Vn, for our purpose of arithmetical and combinatorial applications. Thus, if p(x)∈ℚ[x] is of degree n, then p(x)=∑l=0nblEl(x) for some uniquely determined bl∈ℚ. In this paper we develop method for computing bl from the information of p(x).
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0161-1712eISSN: 1687-0425DOI: 10.1155/2012/343981Titel-ID: cdi_doaj_primary_oai_doaj_org_article_a6612dcecd034d4ca5b2817e0b3055ea
- Format
- –
- Schlagworte
- Banking industry, Combinatorial analysis, Computation, Mathematical models, Older people, Polynomials, Vector spaces