Sums of finite products of Chebyshev polynomials of two different types
Copyright policy )Sums of finite products of Chebyshev polynomials of two different types
<abstract><p>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 $ {}_{2}F_{1} $. This problem can be viewed as a generalization of the classical linearization problems and is done by explicit computations.</p></abstract>
- Sogang University Korea (Republic of)
- Kwangwoon University Korea (Republic of)
- Gyeongsang National University Korea (Republic of)
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), chebyshev polynomials of the first, Classical hypergeometric functions, \({}_2F_1\), third and fourth kinds, Chebyshev polynomials of the first, second, third and fourth kinds, terminating hypergeometric function, QA1-939, Mathematics, second
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), chebyshev polynomials of the first, Classical hypergeometric functions, \({}_2F_1\), third and fourth kinds, Chebyshev polynomials of the first, second, third and fourth kinds, terminating hypergeometric function, QA1-939, Mathematics, second
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