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On the properties of iterated binomial transforms for the Padovan and Perrin matrix sequences - MaRDI portal

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On the properties of iterated binomial transforms for the Padovan and Perrin matrix sequences (Q305794)

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scientific article; zbMATH DE number 6306939
  • Binomial transforms of the Padovan and Perrin matrix sequences
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English
On the properties of iterated binomial transforms for the Padovan and Perrin matrix sequences
scientific article; zbMATH DE number 6306939
  • Binomial transforms of the Padovan and Perrin matrix sequences

Statements

On the properties of iterated binomial transforms for the Padovan and Perrin matrix sequences (English)
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Binomial transforms of the Padovan and Perrin matrix sequences (English)
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31 August 2016
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23 June 2014
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Padovan matrix sequence
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Perrin matrix sequence
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iterated binomial transform
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binomial transform
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Binet formula
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generating function
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Summary: 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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