Eulerian Polynomials and B-Splines

Research output: Journal ArticleArticlepeer-review


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 languageAmerican English
JournalJournal of Computational and Applied Mathematics
StatePublished - 2012


  • B-spline
  • Eulerian polynomial
  • Eulerian Number
  • Eulerian Fraction
  • exponential Euler polynomial
  • Euler-Frobenius polynomial
  • and Euler-Frobenius fractions.


  • Applied Mathematics
  • Mathematics

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