Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials
Copyright policy )Fourier Series for Functions Related to Chebyshev Polynomials of the First Kind and Lucas Polynomials
In this paper, we derive Fourier series expansions for functions related to sums of finite products of Chebyshev polynomials of the first kind and of Lucas polynomials. From the Fourier series expansions, we are able to express those two kinds of sums of finite products of polynomials as linear combinations of Bernoulli polynomials.
- Kwangwoon University Korea (Republic of)
- Sogang University Korea (Republic of)
- Konkuk University Korea (Republic of)
Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Lucas polynomials, Bernoulli polynomials, QA1-939, Chebyshev polynomials of the first kind, Bernoulli and Euler numbers and polynomials, Fourier series, Mathematics
Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Lucas polynomials, Bernoulli polynomials, QA1-939, Chebyshev polynomials of the first kind, Bernoulli and Euler numbers and polynomials, Fourier series, Mathematics
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