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On Power Sums Involving Lucas Functions Sequences

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  • Stefano Barbero

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.

Suggested Citation

  • Stefano Barbero, 2017. "On Power Sums Involving Lucas Functions Sequences," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-11, October.
    • Handle: RePEc:hin:jnlmpe:8124934
    DOI: 10.1155/2017/8124934
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