We consider certain quadrature rules of highest algebraic degree of precision that involve strong Stieltjes distributions (i.e., strong distributions on the positive real axis). The behavior of theâ€¦ (More)

SzegÅ‘ polynomials with respect to the weight function Ï‰(Î¸) = eÎ·Î¸ [sin(Î¸/2)]2Î», where Î·, Î» âˆˆ R and Î» > âˆ’1/2 are considered. Many of the basic relations associated with these polynomials are givenâ€¦ (More)

Connection between two sequences of orthogonal polynomials, where the associated measures are related to each other by a first degree polynomial multiplication (or division), are looked at. Theâ€¦ (More)

We investigate polynomials satisfying a three-term recurrence relation of the form Bn(x) = (x âˆ’ Î²n)Bnâˆ’1(x) âˆ’ Î±nxBnâˆ’2(x), with positive recurrence coefficients Î±n+1, Î²n (n = 1, 2, . . .). We show thatâ€¦ (More)

We study the use of para-orthogonal polynomials in solving the frequency analysis problem. Through a transformation of Delsarte and Genin, we present an approach for the frequency analysis by usingâ€¦ (More)

We show how symmetric orthogonal polynomials can be linked to polynomials associated with certain orthogonal L-polynomials. We provide some examples to illustrate the results obtained. Finally as anâ€¦ (More)