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Abstract and Applied Analysis
Volume 2013, Article ID 497418, 7 pages
Research Article

Binomial Transforms of the Padovan and Perrin Matrix Sequences

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

Received 18 July 2013; Accepted 13 September 2013

Academic Editor: Beong In Yun

Copyright © 2013 Nazmiye Yilmaz and Necati Taskara. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.