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math.CO2021
Reciprocal series involving Horadam numbers
Kunle Adegoke, Robert Frontczak, Taras Goy
We evaluate some new three parameter families of finite reciprocal sums involving Horadam numbers. We will also be able to state the results for the infinite sums. Some Fibonacci a…
math.CO2021★ 5 cited
Chebyshev-Fibonacci polynomial relations using generating functions
Robert Frontczak, Taras Goy
The main object of the paper is to reveal connections between Chebyshev polynomials of the first and second kinds and Fibonacci polynomials introduced by Catalan. This is achieved…