On sums of finite products of balancing polynomials

DOI10.1016/J.CAM.2020.112913zbMath1434.11066OpenAlexW3015411387MaRDI QIDQ2175855

Taekyun Kim, Dae San Kim

Publication date: 30 April 2020

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2020.112913

zbMATH Keywords

Chebyshev polynomialsgenerating functionbalancing number

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Related Items (5)

Sums of finite products of Pell polynomials in terms of hypergeometric functions ⋮ Sums of finite products of Chebyshev polynomials of two different types ⋮ Hypergeometric connections between balancing polynomials and Chebyshev polynomials of first and second kinds ⋮ Balancing polynomials, Fibonacci numbers and some new series for \(\pi\) ⋮ Unnamed Item

Cites Work

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• AN APPLICATION OF p-ADIC CONVOLUTIONS
• Special Functions and Orthogonal Polynomials
• Expressing sums of finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials by several orthogonal polynomials

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