Reciprocal sums of generalized Fibonacci polynomials

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In this paper we find closed forms for certain finite sums. In each case, the denominator of the summand consists of products of two distinct Fibonacci numbers. We express each closed form in terms of reciprocals of the Fibonacci numbers. The results are also generalized to Fibonacci polynomials and Lucas polynomials.

Original languageEnglish
Pages (from-to)19-32
Number of pages14
JournalJournal of Algebra and Applied Mathematics
Issue number1
Publication statusPublished - Mar 2019


  • Fibonacci number
  • Fibonacci polynomial
  • Lucas polynomial
  • Reciprocal sum

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Discrete Mathematics and Combinatorics
  • Computational Mathematics
  • Applied Mathematics


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