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Euler Basis, Identities, and Their Applications
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-03
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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).
American Psychological Association (APA)
Kim, Dae San& Kim, Taekyun. 2012. Euler Basis, Identities, and Their Applications. International Journal of Mathematics and Mathematical Sciences،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-464437
Modern Language Association (MLA)
Kim, Dae San& Kim, Taekyun. Euler Basis, Identities, and Their Applications. International Journal of Mathematics and Mathematical Sciences No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-464437
American Medical Association (AMA)
Kim, Dae San& Kim, Taekyun. Euler Basis, Identities, and Their Applications. International Journal of Mathematics and Mathematical Sciences. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-464437
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-464437