Submitted:
21 November 2018
Posted:
22 November 2018
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Abstract
In this paper, we study sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials and represent each of them in terms of Chebyshev polynomials of all kinds. Here the coefficients involve terminating hypergeometric functions 2F1 and these representations are obtained by explicit computations.
Keywords:
sums of finite products
; Chebyshev polynomials of the first kind
; Lucas polynomials
; Chebyshev polynomials of all kinds
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