Comptes Rendus
no. 3
Combinatorics/Number theory
A q-analogue for bisnomial coefficients and generalized Fibonacci sequences
[Un q-analogue pour les coefficients bisnomiaux et les suites de Fibonacci généralisées]

Présenté par : the Editorial Board

Hacène Belbachir1 ; Athmane Benmezai2, 3
1 USTHB, Faculty of Mathematics, RECITS Laboratory, DG-RSDT, BP 32, El Alia 16111, Bab Ezzouar, Algiers, Algeria
2 University of Dely Brahim, Fac. of Eco. & Manag. Sc., RECITS Laboratory, DG-RSDT, Rue Ahmed Ouaked, Dely Brahim, Algiers, Algeria
3 University of Oran, Faculty of Sciences, BP 1524, ELM Naouer, 31000, Oran, Algeria
Comptes Rendus. Mathématique, Volume 352 (2014) no. 3, pp. 167-171.

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

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

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2014.01.009

Hacène Belbachir 1 ; Athmane Benmezai 2, 3

1 USTHB, Faculty of Mathematics, RECITS Laboratory, DG-RSDT, BP 32, El Alia 16111, Bab Ezzouar, Algiers, Algeria
2 University of Dely Brahim, Fac. of Eco. & Manag. Sc., RECITS Laboratory, DG-RSDT, Rue Ahmed Ouaked, Dely Brahim, Algiers, Algeria
3 University of Oran, Faculty of Sciences, BP 1524, ELM Naouer, 31000, Oran, Algeria 
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     title = {A \protect\emph{q}-analogue for bi\protect\textsuperscript{\protect\emph{s}}nomial coefficients and generalized {Fibonacci} sequences},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {167--171},
     publisher = {Elsevier},
     volume = {352},
     number = {3},
     year = {2014},
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Hacène Belbachir; Athmane Benmezai. A q-analogue for bisnomial coefficients and generalized Fibonacci sequences. Comptes Rendus. Mathématique, Volume 352 (2014) no. 3, pp. 167-171. doi : 10.1016/j.crma.2014.01.009. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2014.01.009/

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