On Power Sums Involving Lucas Functions Sequences

Stefano Barbero

Mathematical Problems in Engineering, 2017, vol. 2017, 1-11

Abstract:

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.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8124934

DOI: 10.1155/2017/8124934

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