Article
Eulerian Polynomials and B-Splines
Journal of Computational and Applied Mathematics
(2012)
Abstract
Here presented is the interrelationship between Eulerian polynomials, Eulerian fractions and Euler-Frobenius polynomials, Euler-Frobenius fractions, B-splines, respectively. The properties of Eulerian polynomials and Eulerian fractions and their applications in B-spline interpolation and evaluation of Riemann-zeta function values at odd integers are given. The relation between Eulerian numbers and B-spline values at knot points are also discussed.
Keywords
- B-spline,
- Eulerian polynomial,
- Eulerian Number,
- Eulerian Fraction,
- exponential Euler polynomial,
- Euler-Frobenius polynomial,
- and Euler-Frobenius fractions.
Disciplines
Publication Date
Fall 2012
Publisher Statement
The Journal of Computational and Applied Mathematics is published by Elsevier, http://www.journals.elsevier.com/journal-of-computational-and-applied-mathematics/.
Citation Information
Tian-Xiao He. "Eulerian Polynomials and B-Splines" Journal of Computational and Applied Mathematics Vol. 236 (2012) Available at: http://works.bepress.com/tian_xiao_he/17/