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

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.

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Main Authors: Naim Tuglu, Fatma Yesil, E. Gokcen Kocer, Maciej Dziemiańczuk
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/841826
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author Naim Tuglu
Fatma Yesil
E. Gokcen Kocer
Maciej Dziemiańczuk
author_facet Naim Tuglu
Fatma Yesil
E. Gokcen Kocer
Maciej Dziemiańczuk
author_sort Naim Tuglu
collection DOAJ
description 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.
format Article
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institution Kabale University
issn 1110-757X
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Journal of Applied Mathematics
spelling doaj-art-261034950886483e81bf8b56be1e90212025-02-03T01:22:22ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/841826841826The F-Analogue of Riordan Representation of Pascal Matrices via Fibonomial CoefficientsNaim Tuglu0Fatma Yesil1E. Gokcen Kocer2Maciej Dziemiańczuk3Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, 06500 Ankara, TurkeyDepartment of Mathematics, Faculty of Art and Science, Amasya University, Ipekkoy, 05100 Amasya, TurkeyFaculty of Education, Konya Necmettin Erbakan University, Meram, 42099 Konya, TurkeyInstitute of Informatics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, PolandWe 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.http://dx.doi.org/10.1155/2014/841826
spellingShingle Naim Tuglu
Fatma Yesil
E. Gokcen Kocer
Maciej Dziemiańczuk
The F-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients
Journal of Applied Mathematics
title The F-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients
title_full The F-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients
title_fullStr The F-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients
title_full_unstemmed The F-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients
title_short The F-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients
title_sort f analogue of riordan representation of pascal matrices via fibonomial coefficients
url http://dx.doi.org/10.1155/2014/841826
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