[PDF] Top 20 Laguerre-Hahn orthogonal polynomials on the real line
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Laguerre-Hahn orthogonal polynomials on the real line
... previously, the identification of difference equations involving the recurrence coefficients of orthogonal polynomials with discrete Painlev´ e equations is a well-known subject, much analysis ... See full document
37
Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
... in the study of Laguerre-Hahn orthogonal ...for the Laguerre-Hahn orthogonal ...from the differential system and the recurrence relation, that yield ... See full document
19
Deformed Laguerre-Hahn orthogonal polynomials on the real line
... For the semi-classical case, that is, B ≡ 0 in ( 1), the connection be- tween semi-classical orthogonal polynomials and integrable dynamical sys- tems is well established (see ...of the ... See full document
17
Second- order differential equations in the Laguerre-Hahn class
... In the present paper we focus our attention on differential equations satis- fied by Laguerre-Hahn orthogonal polynomials on the real ... See full document
26
On linear spectral transformations and the Laguerre-Hahn class
... study the Christoffel, Geronimus, and Uvarov transformations for Laguerre-Hahn orthogonal polynomials on the real ...analysed the modi- fication of ... See full document
21
Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
... For the best of our knowledge, Laguerre-Hahn orthogonal polynomials on sys- tems of non-uniform lattices were firstly studied by ...[3,4]. The Laguerre-Hahn ... See full document
21
On differential equations for orthogonal polynomials on the unit circle
... W. Hahn, concerning differential equations for orthogonal polynomials on the real ...W. Hahn establishes the equivalence between second order linear differential ... See full document
25
Classification of Laguerre-Hahn orthogonal polynomials of class one
... of the paper is organized as follows: in Section 2 we show difference-differential equations for Laguerre-Hahn orthogonal polynomials to be used throughout the paper, and we ... See full document
18
Another connection between orthogonal polynomials and L-orthogonal polynomials
... between orthogonal polynomials associated with positive measures on the real line and L-orthogonal polynomials associated with strong measures of the class S ... See full document
19
Distributional equation for Laguerre- Hahn functionals on the unit circle
... call the set of all such functionals (respectively, Carath´eodory func- tion, F ) the Laguerre-Hahn class on the unit ...that the Laguerre-Hahn class ... See full document
14
Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle
... for the study here presented comes from several ap- plications related with orthogonal polynomials on the unit circle and also on the real ...to the ... See full document
24
Structure relations for orthogonal polynomials on the unit circle
... orthogonality on the real line, a well-known topic of research in the literature is to establish the semi-classical character of sequences of orthogonal polynomials ... See full document
19
Differential equations for families of semi- classical orthogonal polynomials within class one
... combinations on roots of A, to show a connection of the recurrence relation coefficients to other discrete and differential Painlev´ e ...than the semi-classical one, for instance, the ... See full document
22
The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions
... of Laguerre-Freud equations for Laguerre-Hahn orthogonal poly- nomials has been done for several instances of the polynomials A, B, C, D in (3) (see [1, 7, 14, 15, ...focus ... See full document
20
Characterizations of Laguerre-Hahn affne orthogonal polynomials on the unit circle
... then, the comparison between both theories, namely the characteriza- tion of the functionals in terms of differential properties for the corresponding sequences of orthogonal ... See full document
19
Discrete Painlevé Equations for Recurrence Coefficients of Laguerre-Hahn Orthogonal Polynomials of Class One
... between the quasi-definiteness of u ∈ P ′ and the existence of a SMOP with respect to u is well known in the literature on orthogonal polynomials (see [9, ...supported on ... See full document
19
Connection coefficients and zeros of orthogonal polynomials
... ’s the- orem for the classical orthogonal ...use the second-order di erential equation satis ed by the corresponding orthogonal ...that the only orthogonal ... See full document
10
Symmetric semi-classical orthogonal polynomials of class one on q-quadratic lattices
... or the orthogonality measure. We take the difference equation sat- isfied by the Stieltjes functions, say ADS = CMS + D, where A, C, D are polynomials, subject to restrictions deg(A) ≤ 3, ... See full document
12
W W L CHEN
... out the diagonalization. As before, we study the question of eigenvalues and eigenvectors of a given matrix; these are defined as for the real case without any ... See full document
6
On Global Solution of Incompressible Navier-Stokes Equations
... to the form of fluid equations they could be trans- formed into the full/partial inhomogeneous parabolic differ- ential equations: differential equations in respect to space variables and full differential ... See full document
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