TheF-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients-Reference-Cited by-同舟云学术

TheF-Analogue of Riordan Representation of Pascal Matrices via Fibonomial Coefficients

Published:2014 Issue: Volume:2014 Page:1-6
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Tuglu Naim¹,Yesil Fatma²,Kocer E. Gokcen³,Dziemiańczuk Maciej⁴

Affiliation:

1. Department of Mathematics, Faculty of Science, Gazi University, Teknikokullar, 06500 Ankara, Turkey

2. Department of Mathematics, Faculty of Art and Science, Amasya University, Ipekkoy, 05100 Amasya, Turkey

3. Faculty of Education, Konya Necmettin Erbakan University, Meram, 42099 Konya, Turkey

4. Institute of Informatics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland

Abstract

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 anF-Riordan pair.

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2014/841826.pdf

Reference16 articles.

1. The Riordan group

2. Riordan arrays and combinatorial sums

3. Riordan arrays and the Abel-Gould identity

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