Recent trends on analytic properties of matrix orthonormal polynomials.
Recurrence relations for orthogonal polynomials on algebraic curves
Recurrence relations with periodic coefficients and Chebyshev polynomials
We show that polynomials defined by recurrence relations with periodic coefficients may be represented with the help of Chebyshev polynomials of the second kind.
Remark on the inequality of F. Riesz
We prove F. Riesz’ inequality assuming the boundedness of the norm of the first arithmetic mean of the functions with p ≥ 2 instead of boundedness of the functions φₙ of an orthonormal system.
Remarks on orthogonal polynomials with respect to varying measures and related problems.
Restricted permutations and Chebyshev polynomials.
Restricted permutations, continued fractions, and Chebyshev polynomials.
Riordan arrays, orthogonal polynomials as moments, and Hankel transforms.
Rodrigues-type formulae for Hermite and Laguerre polynomials.