Combinatorial sums associated with balancing and Lucas-balancing polynomials

DOI10.33039/AMI.2020.10.002zbMath1474.11046OpenAlexW3096745514MaRDI QIDQ5855815

T. P. Goy, Robert Frontczak

Publication date: 20 March 2021

Published in: Annales Mathematicae et Informaticae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.33039/ami.2020.10.002

zbMATH Keywords

Fibonacci numberLucas numberbalancing numberbalancing polynomialLucas-balancing polynomial

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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Relating certain weighted Fibonacci series to Bernoulli polynomials via the polylogarithm function ⋮ Balancing polynomials, Fibonacci numbers and some new series for \(\pi\)

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