q-Stern Polynomials as Numerators of Continued Fractions

• Autorzy: Toufik Mansour
• Języki publikacji: EN

Abstrakty

EN

We present a q-analogue for the fact that the nth Stern polynomial Bₙ(t) in the sense of Klavžar, Milutinović and Petr [Adv. Appl. Math. 39 (2007)] is the numerator of a continued fraction of n terms. Moreover, we give a combinatorial interpretation for our q-analogue.

Kategorie tematyczne

• 11B75: Other combinatorial number theory
• 11B37: Recurrences
• 11B83: Special sequences and polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2015
• Tom: 63
• Numer: 1
• Strony: 11-18

Daty

wydano

2015

Twórcy

autor

Toufik Mansour

• Department of Mathematics, University of Haifa, 3498838 Haifa, Israel

Identyfikatory

DOI

10.4064/ba63-1-2