Literature cited
G. Szegö, Orthogonal Polynomials [Russian translation], Fizmatgiz, Moscow (1962).
K. V. Lashchenov, “On a class of orthogonal polynomials,” Uch. Zap. Leningr. Pedagog. Inst., No. 89, 191–206 (1953).
G. I. Barkov, “Some polynomial systems orthogonal on two symmetric intervals,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 4, 3–16 (1960).
N. P. Fadeev, “Polynomials orthogonal on several intervals,” Uch. Zap. Kazan State Pedagogical Inst., No. 83, 151–162 (1970).
V. M. Badkov, “Approximative properties of the Fourier series of orthogonal polynomials,” Usp. Mat. Nauk,33, No. 4, 51–106 (1978).
V. M. Badkov, “Approximation of functions in the uniform metric by Fourier sums of orthogonal polynomials,” Trudy MI Akad. Nauk SSSR,145, 20–62 (1980).
V. M. Badkov, “Uniform asymptotic representations of orthogonal polynomials,” ibid.,164 6–36 (1983).
V. M. Badkov, “Estimation for the Lebesgue function and the remainder of the Fourier series with respect to orthogonal polynomials,” in: Functions, series, opertors. (Colloq. Math. Soc./J. Bolyai;35) North-Holland, Amsterdam, 165–181 (1983).
Ya. L. Geronimus, Polynomials Orthogonal on a Circle and Interval [in Russian], Fizmatgiz, Moscow (1958).
B. L. Golinskii, “On the problem of V. A. Steklov in the theory of orthogonal polynomials,” Mat. Zametki,15, No. 1, 21–32 (1974).
H. Bateman and A. Erdlyi, Higher Transcendent Functions [Russian translation], Vol. 1, Nauka, Moscow (1965).
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Translated from Matematicheskie Zametki, Vol. 42, No. 5, pp. 650–659, November, 1987.
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Badkov, V.M. Systems of orthogonal polynomials explicitly represented by the Jacobi polynomials. Mathematical Notes of the Academy of Sciences of the USSR 42, 858–863 (1987). https://doi.org/10.1007/BF01137428
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DOI: https://doi.org/10.1007/BF01137428