1 9 Se p 20 08 A spline interpretation of Eulerian numbers ∗

نویسندگان

  • Renhong Wang
  • Yan Xu
  • Zhiqiang Xu
چکیده

Abstract In this paper, we explore the interrelationship between Eulerian numbers and B splines. Specifically, using B splines, we give the explicit formulas of the refined Eulerian numbers, and descents polynomials. Moreover, we prove that the coefficients of descent polynomials D d (t) are logconcave. This paper also provides a new approach to study Eulerian numbers and descent polynomials.

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Se p 20 08 A spline interpretation of Eulerian numbers ∗

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تاریخ انتشار 2013