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.
| Original language | American English |
|---|---|
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 236 |
| State | Published - 2012 |
Keywords
- B-spline
- Euler-Frobenius polynomial
- Eulerian Fraction
- Eulerian Number
- Eulerian polynomial
- and Euler-Frobenius fractions.
- exponential Euler polynomial
Disciplines
- Applied Mathematics
- Mathematics