Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials
Copyright policy ) Taekyun Kim; Dae San Kim; Dmitry V. Dolgy; Jongkyum Kwon;
Representing Sums of Finite Products of Chebyshev Polynomials of the First Kind and Lucas Polynomials by Chebyshev Polynomials
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 2 F 1 and these representations are obtained by explicit computations.
- Tianjin Polytechnic University China (People's Republic of)
- Kwangwoon University Korea (Republic of)
- Sogang University Korea (Republic of)
- Gyeongsang National University Korea (Republic of)
sums of finite products, analysis, Lucas polynomials, Chebyshev polynomials of all kinds, QA1-939, Chebyshev polynomials of the first kind, Mathematics
sums of finite products, analysis, Lucas polynomials, Chebyshev polynomials of all kinds, QA1-939, Chebyshev polynomials of the first kind, Mathematics
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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