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Title: Additional close links between balancing and Lucas-balancing polynomials
Authors: Frontczak, Robert
Гой, Тарас Петрович
Keywords: balancing polynomial
Lucas-balancing polynomial
Chebyshev polynomial
Fibonacci number
Lucas number
generating function
Issue Date: 2020
Citation: Frontczak R. Additional close links between balancing and Lucas-balancing polynomials / R. Frontczak, T. Goy // Preprint, ArXiv: arXiv: 2007.14048. - 2020. - 14 pages.
Abstract: Using generating functions, we derive many identities involving balancing and Lucas-balancing polynomials. By relating these polynomials to Chebyshev polynomials of the first and second kind, and Fibonacci and Lucas numbers, we offer some presumably new combinatorial identities involving these famous sequences.
Appears in Collections:Статті та тези (ФМІ)

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