The Power Sums Involving Fibonacci Polynomials and Their Applications
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DOI: 10.3390/sym11050635
Abstract: The Girard and Waring formula and mathematical induction are used to study a problem involving the sums of powers of Fibonacci polynomials in this paper, and we give it interesting divisible properties. As an application… read more here.
Keywords: fibonacci polynomials; polynomials applications; involving fibonacci; power sums ... See more keywords
New Formulas Involving Fibonacci and Certain Orthogonal Polynomials
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DOI: 10.3390/sym15030736
Abstract: In this paper, new formulas for the Fibonacci polynomials, including high-order derivatives and repeated integrals of them, are derived in terms of the polynomials themselves. The results are then used to solve connection problems between… read more here.
Keywords: orthogonal polynomials; fibonacci certain; certain orthogonal; involving fibonacci ... See more keywords