Balancing polynomials, Fibonacci numbers and some new series for \(\pi\)

DOI10.1007/S00009-023-02413-2zbMath1529.11026arXiv2207.09451OpenAlexW4376108421MaRDI QIDQ6040056

Robert Frontczak, Kalika Prasad

Publication date: 24 May 2023

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.09451

zbMATH Keywords

Fibonacci numberLucas numberinfinite series for \(\pi\)balancing polynomialLucas-balancing polynomial

Mathematics Subject Classification ID

Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Calculation of integer sequences (11Y55)

Related Items (1)

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Cites Work

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• Sums of finite products of Chebyshev polynomials of two different types
• Degenerate \(r\)-Whitney numbers and degenerate \(r\)-Dowling polynomials via boson operators
• On sums of finite products of balancing polynomials
• Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials
• On the summation of subseries in closed form
• Combinatorial sums associated with balancing and Lucas-balancing polynomials
• Additional close links between balancing and Lucas-balancing polynomials

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