Sums of finite products of Chebyshev polynomials of two different types
- 주제(키워드) 도움말 Chebyshev polynomials of the first , second , third and fourth kinds , terminating hypergeometric function
- 발행기관 AMER INST MATHEMATICAL SCIENCES-AIMS
- 발행년도 2021
- 총서유형 Journal
- 본문언어 영어
초록/요약 도움말
In this paper, we consider sums of finite products of the second and third type Chebyshev polynomials, those of the second and fourth type Chebyshev polynomials and those of the third and fourth type Chebyshev polynomials, and represent each of them as linear combinations of Chebyshev polynomials of all types. Here the coefficients involve some terminating hypergeometric functions F-2(1). This problem can be viewed as a generalization of the classical linearization problems and is done by explicit computations.
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