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Comptes Rendus Mathématique
Volume 352, n° 3
pages 167-171 (mars 2014)
Doi : 10.1016/j.crma.2014.01.009
Received : 22 October 2013 ;  accepted : 21 January 2014
A q -analogue for bis nomial coefficients and generalized Fibonacci sequences
Un q -analogue pour les coefficients bis nomiaux et les suites de Fibonacci généralisées
 

Hacène Belbachir a , Athmane Benmezai b, c
a USTHB, Faculty of Mathematics, RECITS Laboratory, DG-RSDT, BP 32, El Alia 16111, Bab Ezzouar, Algiers, Algeria 
b University of Dely Brahim, Fac. of Eco. & Manag. Sc., RECITS Laboratory, DG-RSDT, Rue Ahmed Ouaked, Dely Brahim, Algiers, Algeria 
c University of Oran, Faculty of Sciences, BP 1524, ELM Naouer, 31000, Oran, Algeria 

Abstract

A new q -analogue of bis nomial coefficients is proposed according to the generalized q -Fibonacci sequence suggested by Cigler's approach.

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Résumé

Nous proposons une nouvelle variante de q -analogue pour les coefficients binomiaux généralisés appelés coefficients bis nomiaux. Elle est basée sur les suites q -Fibonacci proposées par Cigler.

The full text of this article is available in PDF format.


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