AbstractLet 0 < p < ∞ and ϵn = |an − a/2| + |bn − b| → 0. define a polynomial sequence {pn} by the recurrence relation xpn(x) = an + 1(x) + bnpn(x) + anpn − 1(x). It was proved that [formula] This paper investigates the rate of growth of such a sequence relative to its sums in terms of the rate of convergance of ϵn. Some applications to orthogonal polynomials are given
In this paper the recurrence relations of symmetric orthogonal polynomials whose measures are relate...
AbstractIn this paper it is supposed that the coefficients in the recurrence formula for orthogonal ...
AbstractWe give some properties relating the recurrence relations of orthogonal polynomials associat...
AbstractLet 0 < p < ∞ and ϵn = |an − a/2| + |bn − b| → 0. define a polynomial sequence {pn} by the r...
AbstractAssume that an → a2 and bn → b. Let the polynomials {pn} be defined by the recurrence relati...
AbstractAssume A ∈ C2 × 2 and y0 ∈ C2. Let {yn = yn (A, y0)} be defined by thelinear iteration yn = ...
AbstractThe asymptotic behavior of the ratio pnqn given, where {pn(x): n = 0, 1, …} and {qn(x): n = ...
AbstractIn this paper we study orthogonal polynomials (pn) which arise from a given system of orthog...
AbstractWe consider a class of polynomials Qn(x) defined by Qn(x) = (x + bn) Pn−1 (x) + dnPn (x), n ...
AbstractA survey is given of the interaction between orthogonal polynomials, associated polynomials ...
. We consider asymptotics of orthogonal polynomials with respect to a weight e \GammaQ(x) dx on R,...
An alternate proof of the Christoffel-Darboux recurrence formula for consecutive orthogonal polynomi...
AbstractGiven the coefficients in the three term recurrence relation satisfied by orthogonal polynom...
AbstractWe consider sequences of orthogonal polynomials and pursue the question of how (partial) kno...
AbstractThe asymptotic behavior of γn(dβ)γn(dα)−1 and Pn(x, dβ)P−1n(x, dα) is studied. Here (γn(.))n...
In this paper the recurrence relations of symmetric orthogonal polynomials whose measures are relate...
AbstractIn this paper it is supposed that the coefficients in the recurrence formula for orthogonal ...
AbstractWe give some properties relating the recurrence relations of orthogonal polynomials associat...
AbstractLet 0 < p < ∞ and ϵn = |an − a/2| + |bn − b| → 0. define a polynomial sequence {pn} by the r...
AbstractAssume that an → a2 and bn → b. Let the polynomials {pn} be defined by the recurrence relati...
AbstractAssume A ∈ C2 × 2 and y0 ∈ C2. Let {yn = yn (A, y0)} be defined by thelinear iteration yn = ...
AbstractThe asymptotic behavior of the ratio pnqn given, where {pn(x): n = 0, 1, …} and {qn(x): n = ...
AbstractIn this paper we study orthogonal polynomials (pn) which arise from a given system of orthog...
AbstractWe consider a class of polynomials Qn(x) defined by Qn(x) = (x + bn) Pn−1 (x) + dnPn (x), n ...
AbstractA survey is given of the interaction between orthogonal polynomials, associated polynomials ...
. We consider asymptotics of orthogonal polynomials with respect to a weight e \GammaQ(x) dx on R,...
An alternate proof of the Christoffel-Darboux recurrence formula for consecutive orthogonal polynomi...
AbstractGiven the coefficients in the three term recurrence relation satisfied by orthogonal polynom...
AbstractWe consider sequences of orthogonal polynomials and pursue the question of how (partial) kno...
AbstractThe asymptotic behavior of γn(dβ)γn(dα)−1 and Pn(x, dβ)P−1n(x, dα) is studied. Here (γn(.))n...
In this paper the recurrence relations of symmetric orthogonal polynomials whose measures are relate...
AbstractIn this paper it is supposed that the coefficients in the recurrence formula for orthogonal ...
AbstractWe give some properties relating the recurrence relations of orthogonal polynomials associat...
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