[PDF] Top 20 Deformed Laguerre-Hahn orthogonal polynomials on the real line
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Deformed Laguerre-Hahn orthogonal polynomials on the real line
... of orthogonal polynomials on the real line whose Stieltjes functions satisfy a Riccati type differential equation with polynomial coef- ...of the recurrence relation ... See full document
17
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
Second- order differential equations in the Laguerre-Hahn class
... that the Laguerre-Hahn orthogonal polynomials are a generalization of the semi-classical orthogonal polynomials, since the later ones are related to (3) with ... 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
Classification of Laguerre-Hahn orthogonal polynomials of class one
... Jacobi polynomials. These families of polynomials are orthogonal with respect to measures de- fined by an absolutely continuous part with respect to the Lebesgue measure, w, satisfying Aw 0 = ... 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
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
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
... continuous real valued function defined on the real line (satisfying certain conditions involving its first and second derivatives), are nowadays commonly known as Freud-type ... See full document
20
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
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
Connection coefficients and zeros of orthogonal polynomials
... ’s the- orem for the classical orthogonal ...use the second-order dierential equation satised by the corresponding orthogonal ...that the only orthogonal ... See full document
10
Characterizations of Laguerre-Hahn affne orthogonal polynomials on the unit circle
... establish the semi-classical character of the corresponding func- ...and the corresponding sequences of or- thogonal polynomials that are not semi-classical are given, thus showing that, in ... See full document
19
Discrete Painlevé Equations for Recurrence Coefficients of Laguerre-Hahn Orthogonal Polynomials of Class One
... perturbations on the sequences of orthogonal ...deed, Laguerre-Hahn families of orthogonal polynomials may appear as a re- sult of modifications of semi-classical ... See full document
19
Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
... thogonal polynomials allows us to deduce a representation for the solutions of (2) as Y n = e P n L −1 , where L satisfies AL ′ = CL and e P n is defined in ... See full document
19
Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
... in the matrix form for Laguerre-Hahn orthogonal polynomials on systems of non-uniform lattices, the so-called compatibility con- ditions, involving the transfer ... See full document
21
Laguerre-Hahn orthogonal polynomials on the real line
... that the regularity of u implies s ...from the set of Laguerre- Hahn linear functionals into the subsets of the non-negative integers, that outputs s to each u satisfying ... See full document
37
Deformed Gaussian orthogonal ensemble and the statistical fluctuations in the spectra of the quartic oscillator
... cases, the NND of the DGOE provided a good description for the level fluctuations of the ...spectra. The com- parison of the models teaches us that the DGOE model has ... See full document
9
Closed Form Solution to an Optimal Control Problem by Orthogonal Polynomial Expansion
... The goal of an optimal controller is the determination of the control signal such that a specified performance criterion is optimized, while at the same time specific physical constraints are ... See full document
6
Open HardyLittlewoodBohnenblustHille multilinear inequalities and Peano curves on topological vector spaces
... [25] the notion of maximal lineable (and that of maximal dense-lineable) in X, meaning that, when keeping the above notation, the dimension of the existing linear space equals ... See full document
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