AbstractWe prove a remarkable property for the coefficients of the linear differential operator of finite order found in [2], having Sobolev type Laguerre polynomials as eigenfunctions
AbstractLet {Sn} denote the sequence of polynomials orthogonal with respect to the Sobolev inner pro...
AbstractThe differential operator generated by the Laguerre differential equation xy″ + (1 + α − x)y...
We present two infinite sequences of polynomial eigenfunctions of a Sturm-Liouville problem. As oppo...
AbstractWe prove a remarkable property for the coefficients of the linear differential operator of f...
AbstractIn this paper, we study the case α = 0 of the Sobolev-Laguerre polynomials. We determine a g...
AbstractPolynomials are considered which are orthogonal with respect to the inner product 〈f,g〉=∑x=0...
AbstractLet L(α) be the (semi-infinite) tridiagonal matrix associated with the three-term recursion ...
In this paper, we introduce the notion of Oε-classical orthogonal polynomials, where Oε := I + εD (...
AbstractPolynomials are considered which are orthogonal with respect to the inner product 〈f,g〉=(1−c...
AbstractWe look for differential equations of the form Σ∞i=0ci(x)y(i)(x) = 0, where the coefficients...
AbstractThis paper deals with one-parameter linear perturbations of a family of polynomials {Pn(x)}n...
AbstractIt has been known for a long time that the solutions of certain differential equation system...
AbstractWhen −j − 1 < α < −j, where j is a positive integer, the Laguerre polynomials {Ln(α)}n = 0∞ ...
AbstractConsider (Sobolev) orthogonal polynomials which are orthogonal relative to a Sobolev bilinea...
Ph.D. University of Hawaii at Manoa 2014.Includes bibliographical references.It is well known that e...
AbstractLet {Sn} denote the sequence of polynomials orthogonal with respect to the Sobolev inner pro...
AbstractThe differential operator generated by the Laguerre differential equation xy″ + (1 + α − x)y...
We present two infinite sequences of polynomial eigenfunctions of a Sturm-Liouville problem. As oppo...
AbstractWe prove a remarkable property for the coefficients of the linear differential operator of f...
AbstractIn this paper, we study the case α = 0 of the Sobolev-Laguerre polynomials. We determine a g...
AbstractPolynomials are considered which are orthogonal with respect to the inner product 〈f,g〉=∑x=0...
AbstractLet L(α) be the (semi-infinite) tridiagonal matrix associated with the three-term recursion ...
In this paper, we introduce the notion of Oε-classical orthogonal polynomials, where Oε := I + εD (...
AbstractPolynomials are considered which are orthogonal with respect to the inner product 〈f,g〉=(1−c...
AbstractWe look for differential equations of the form Σ∞i=0ci(x)y(i)(x) = 0, where the coefficients...
AbstractThis paper deals with one-parameter linear perturbations of a family of polynomials {Pn(x)}n...
AbstractIt has been known for a long time that the solutions of certain differential equation system...
AbstractWhen −j − 1 < α < −j, where j is a positive integer, the Laguerre polynomials {Ln(α)}n = 0∞ ...
AbstractConsider (Sobolev) orthogonal polynomials which are orthogonal relative to a Sobolev bilinea...
Ph.D. University of Hawaii at Manoa 2014.Includes bibliographical references.It is well known that e...
AbstractLet {Sn} denote the sequence of polynomials orthogonal with respect to the Sobolev inner pro...
AbstractThe differential operator generated by the Laguerre differential equation xy″ + (1 + α − x)y...
We present two infinite sequences of polynomial eigenfunctions of a Sturm-Liouville problem. As oppo...
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