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Binomial Transforms of the Padovan and Perrin Matrix Sequences

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  • Nazmiye Yilmaz
  • Necati Taskara

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.

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  • Nazmiye Yilmaz & Necati Taskara, 2013. "Binomial Transforms of the Padovan and Perrin Matrix Sequences," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, October.
    • Handle: RePEc:hin:jnlaaa:497418
    DOI: 10.1155/2013/497418
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    Cited by:

    1. Anatriello, Giuseppina & Németh, László & Vincenzi, Giovanni, 2022. "Generalized Pascal’s triangles and associated k-Padovan-like sequences," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 192(C), pages 278-290.

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