[PDF] Top 20 Connection coefficients and zeros of orthogonal polynomials
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Connection coefficients and zeros of orthogonal polynomials
... theorem of Obrechko and some of its ...on connection coecients, zeros and Wronskians of orthogonal polynomials from the perspective of Obrechko ’s ... See full document
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Laguerre-Hahn orthogonal polynomials on the real line
... identification of difference equations involving the recurrence coefficients of orthogonal polynomials with discrete Painlev´ e equations is a well-known subject, much analysis has been ... See full document
37
Classification of Laguerre-Hahn orthogonal polynomials of class one
... sequences of Laguerre-Hahn orthogonal polynomials of class one, built from semi-classical ...SMOP of class one, then the sequence of associated polynomials is ... See full document
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Nonlinear difference equations for a modified Laguerre weight: Laguerre-Freud equations and asymptotics
... for polynomials which are orthogonal with respect to a weight having a rational logarithmic derivative - the semi-classical weights, and nonlinear difference equations for their recurrence ... See full document
15
Coherent pairs of linear functionals on the unit circle
... structure of the manuscript is as ...pairs of measures supported on Jordan arcs or curves using the connection between the corresponding sequences of orthogonal polynomials as in ... See full document
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Symmetric semi-classical orthogonal polynomials of class one on q-quadratic lattices
... property of leaving a polynomial of degree n − 1 when applied to a polynomial of degree ...2] and involves the q-quadratic lattice due to its parametric representations (more details are given ... See full document
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Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials
... generalization of the Hellmann-Feynman theorem (see [14,21]) for the derivatives of the zeros of orthogonal polynomials with respect to a ...be of interest to obtain ... See full document
10
Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
... results of the present paper are given in Sections 3 and 4, where we deduce difference equations in the matrix form for the orthogonal polyno- mials (see Theorem 1), and the so-called ... See full document
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Differential equations for families of semi- classical orthogonal polynomials within class one
... families of semi-classical orthogonal polynomials in the so-called class one, w 0 /w = C/A, under the restrictions deg(A) ≤ 1, deg(C) = 2, and some of their extensions, through a ... See full document
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Characterizations of Laguerre-Hahn affne orthogonal polynomials on the unit circle
... space of Laurent polynomials with complex coefficients was ...concept of semi-classical functional was extended to this set of function- als; a hermitian linear functional u is said to ... See full document
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Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
... study of Laguerre-Hahn orthogonal ...orthogonal polynomials. Lax pairs are given, formed from the differential system and the recurrence relation, that yield discrete non-linear ... See full document
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On linear spectral transformations and the Laguerre-Hahn class
... Geronimus, and Uvarov transformations for Laguerre-Hahn orthogonal polynomials on the real ...fication of the corresponding difference-differential equations that characterize the systems ... See full document
21
On differential equations for orthogonal polynomials on the unit circle
... issue of second order differential equations we remark the pa- per [12], where the authors, using a different method from ours, deduce second order differential equations with analytic coefficients for ... See full document
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A characterization theorem for semi-classical orthogonal polynomials on non-uniform lattices
... semi-classical orthogonal polynomials on non-uniform lattices that states the equivalence between the Pearson equation for the weight and some systems involving the orthogonal ... See full document
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Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
... semi-classical orthogonal polynomials on quadratic lattices, namely, differ- ence equations involving the polynomials and related functions, compatibility relations, and new matrix ... See full document
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Comput. Appl. Math. vol.29 número3
... about zeros, have been investigated. In particular, in [6], [8], and [11], several results about existence, location and interlacing properties of the zeros of or- thogonal ... See full document
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The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions
... sequences of orthogonal polynomials of class two related to Stieltjes functions satisfying a Riccati type differential equation with polynomial ...recurrence coefficients of the ... See full document
20
Second- order differential equations in the Laguerre-Hahn class
... Laguerre-Hahn orthogonal polynomials are a generalization of the semi-classical orthogonal polynomials, since the later ones are related to (3) with B ≡ 0, the classical families ... See full document
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Discrete Painlevé Equations for Recurrence Coefficients of Laguerre-Hahn Orthogonal Polynomials of Class One
... sequences of orthogonal ...families of orthogonal polynomials may appear as a re- sult of modifications of semi-classical orthogonal polynomials, for ... See full document
19
Szegö polynomials: quadrature rules on the unit circle and on [-1, 1]
... the zeros of polynomials which are linear combinations of the orthogonal polynomials on [−1, ...case of any symmetric quadra- ture rule on [−1, 1], its associated ... See full document
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