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Sums of powers of Fibonacci polynomials

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Abstract

Using the explicit (Binet) formula for the Fibonacci polynomials, a summation formula for powers of Fibonacci polynomials is derived straightforwardly, which generalizes a recent result for squares that appeared in Proc. Ind. Acad. Sci. (Math. Sci.) 118 (2008) 27–41.

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Reference

  1. Kilic E, Sums of the squares of terms of sequence {u n}, Proc. Indian Acad. Sci. (Math. Sci.) 118 (2008) 27–41

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Authors and Affiliations

  1. Department of Mathematics, University of Stellenbosch, 7602, Stellenbosch, South Africa

    Helmut Prodinger

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  1. Helmut Prodinger
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Correspondence to Helmut Prodinger.

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Prodinger, H. Sums of powers of Fibonacci polynomials. Proc Math Sci 119, 567–570 (2009). https://doi.org/10.1007/s12044-009-0060-x

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  • DOI: https://doi.org/10.1007/s12044-009-0060-x

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