The F-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients

Naim Tuglu; Fatma Yesil; E. Gokcen Kocer; Maciej Dziemiańczuk

doi:10.1155/2014/841826

Journal of Applied Mathematics (Jan 2014)

The F-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients

Naim Tuglu,
Fatma Yesil,
E. Gokcen Kocer,
Maciej Dziemiańczuk

Affiliations

Naim Tuglu: Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, 06500 Ankara, Turkey
Fatma Yesil: Department of Mathematics, Faculty of Art and Science, Amasya University, Ipekkoy, 05100 Amasya, Turkey
E. Gokcen Kocer: Faculty of Education, Konya Necmettin Erbakan University, Meram, 42099 Konya, Turkey
Maciej Dziemiańczuk: Institute of Informatics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

DOI: https://doi.org/10.1155/2014/841826
Journal volume & issue: Vol. 2014

Abstract

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We study an analogue of Riordan representation of Pascal matrices via Fibonomial coefficients. In particular, we establish a relationship between the Riordan array and Fibonomial coefficients, and we show that such Pascal matrices can be represented by an F-Riordan pair.

Published in Journal of Applied Mathematics

ISSN: 1110-757X (Print); 1687-0042 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4185

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