Binomial Transforms of the Padovan and Perrin Matrix Sequences
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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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/497418 |
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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. |
|---|---|
| ISSN: | 1085-3375 1687-0409 |