On power sums involving Lucas functions sequences (Q1993178)
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scientific article; zbMATH DE number 6972540
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On power sums involving Lucas functions sequences |
scientific article; zbMATH DE number 6972540 |
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On power sums involving Lucas functions sequences (English)
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5 November 2018
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Summary: We present some general formulas related to sum of powers, also with alternating sign, involving Lucas functions sequences. In particular, our formulas give a synthesis of various identities involving sum of powers of well-known polynomial sequences such as Fibonacci, Lucas, Pell, Jacobsthal, and Chebyshev polynomials. Finally, we point out some interesting divisibility properties between polynomials arising from our results.
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