[PDF] Top 20 Classification of Laguerre-Hahn orthogonal polynomials of class one
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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
Differential equations for families of semi- classical orthogonal polynomials within class one
... coefficients of the semi-classical orthogonal polynomials of class one with an additional assumption that the degree of A in (14) or (15) is at most ...modified ... See full document
22
Characterizations of Laguerre-Hahn affne orthogonal polynomials on the unit circle
... character of the corresponding func- tional. Some examples of functionals and the corresponding sequences of or- thogonal polynomials that are not semi-classical are given, thus showing that, ... See full document
19
Deformed Laguerre-Hahn orthogonal polynomials on the real line
... so-called Laguerre-Hahn class, is of importance for many problems from applied mathematics and mathematical ...some of these families of orthogonal polynomials, the ... See full document
17
Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line
... so-called Laguerre- Freud’s equations that hold for semi-classical families ...coefficients of (semi-classical) orthogonal polynomials showing its relevance in the theory of integrable ... See full document
19
On differential equations for orthogonal polynomials on the unit circle
... set of such polynomials (equivalently, the set of such Carath´eodory func- tions) was defined in [3, 4] as the Laguerre-Hahn class on the unit ...the Laguerre- Hahn ... See full document
25
Second- order differential equations in the Laguerre-Hahn class
... the 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 ... See full document
26
Symmetric semi-classical orthogonal polynomials of class one on q-quadratic lattices
... are polynomials, subject to restrictions deg(A) ≤ 3, deg(C) ≤ ...the classification from [8], this is the so-called class one (see Section ...cients of orthogonal ... See full document
12
The Symmetric Semi-classical Orthogonal Polynomials of Class Two and Some of Their Extensions
... study 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, ... See full document
20
Matrix Sylvester equations in the theory of orthogonal polynomials on the unit circle
... with orthogonal polynomials on the unit circle and also on the real ...works of Magnus [18], Maroni [21, 22] and Hahn [15, ...theory of Laguerre-Hahn orthogo- nal ... See full document
24
Laguerre-Hahn orthogonal polynomials on the real line
... regularity of u implies s ...set of Laguerre- Hahn linear functionals into the subsets of the non-negative integers, that outputs s to each u satisfying ...element of H(u) is ... See full document
37
On linear spectral transformations and the Laguerre-Hahn class
... extensions of semi-classical fam- ilies of orthogonal polynomials are well-known, their study can be placed within the so-called Laguerre-Hahn ...the Laguerre-Hahn ... See full document
21
Discrete Painlevé Equations for Recurrence Coefficients of Laguerre-Hahn Orthogonal Polynomials of Class One
... 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, ...terms of a positive Borel measure µ ... See full document
19
Orthogonal polynomials on systems of non-uniform lattices from compatibility conditions
... for Laguerre-Hahn orthogonal polynomials on systems of non-uniform lattices, the so-called compatibility con- ditions, involving the transfer ...coefficients of the ... See full document
21
Classification of foundry clients using business rules approach
... the classification of foundry clients. This is one of the possible implementations of the BRE tool named REBIT, developed by AGH team as the project co-funded by the European ...The ... See full document
4
Synthesis Of Arts In Architecture Of Uzbekistan Of The Ancient Period
... busts of musicians, gift-bearers was subjected to the unified principle of division of the entire space into rhythmic segments" [47, ...example, one may consider the case when the ... See full document
8
On Global Solution of Incompressible Navier-Stokes Equations
... motion of fluid ...sum of a diffusing viscous term (proportional to the gradient of velocity) and a pressure term - hence describing viscous ...specific of NS equations they could be ... See full document
4
Estimation and Orthogonal Block Structure
... structure of these models. CJA are useful in discussing the algebraic structures of the models in a way that is convenient for deriving estimators both of variance components and estimable vectors ... See full document
8
Classification Of Complex UCI Datasets Using Machine Learning And Evolutionary Algorithms
... is one of the most researched questions in machine learning and data ...learning, classification refers to an algorithmic process for designating a given input data into one among the ... See full document
10
BASIC HYPERGEOMETRIC FUNCTIONS and ORTHOGONAL LAURENT POLYNOMIALS
... [11] of Hendriksen and van Rossum, where these authors look at T-fractions and orthogonal Lau- rent polynomials originating from three-term contiguous relations satisfied by the hypergeometric ... See full document
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