Binomial Transforms of the Padovan and Perrin Matrix Sequences-Reference-Cited by-同舟云学术

Binomial Transforms of the Padovan and Perrin Matrix Sequences

Published:2013 Issue: Volume:2013 Page:1-7
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Yilmaz Nazmiye¹,Taskara Necati¹

Affiliation:

1. Department of Mathematics, Faculty of Science, Selcuk University, Campus, 42075 Konya, Turkey

Abstract

We apply the binomial transforms to Padovan and Perrin matrix sequences. Also, the Binet formulas, summations, and generating functions of these transforms are found by recurrence relations. Finally, we illustrate the relations between these transforms by deriving new formulas.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/497418.pdf

Reference13 articles.

1. On the Fibonacci k-numbers

2. Fibonacci and Lucas Numbers with Applications

3. Properties of Cordonnier, Perrin and Van der Laan numbers

4. A note on generalized k-Horadam sequence

5. On the mass spectrum of the elementary particles of the standard model using El Naschie’s golden field theory

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