[PDF] Top 20 A characterization of the classical orthogonal discrete and q-polynomials
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A characterization of the classical orthogonal discrete and q-polynomials
... that the above expression is a polynomial of degree p + 1 we substitute ..., and equate the coefficients of x p+ 1 ...to the regularity condition (see Theorem 1.6) and ... See full document
7
A q-ANALOG OF RACAH POLYNOMIALS AND q-ALGEBRA SUq (2) IN QUANTUM OPTICS
... On the other hand, using the q-analog of the quantum theory of angular momentum [20–23] we can obtain several results for the q-polynomials, some of ... See full document
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The modification of classical Hahn polynomials of a discrete variable.(revised version October 1996)
... modication of the rst ones troughtout the addition of two mass ...All the formulas for the classical Hahn polynomials can be found in a lot of books ( see ... See full document
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On the Krall-type polynomials
... a classical linear functional and the mass points are located at the ends of the interval or orthogonal- ...studied the corresponding sequences of ... See full document
14
A generalization of the classical Laguerre polynomials: Asymptotic Properties and Zeros.
... terms of the location of the mass points with respect to the support of the ...1] and satisfying some extra conditions in terms of the parameters ... See full document
18
Distribution of zeros of discrete and continuous polynomials from their recurrence relation.
... on the three-term recurrence relation satised by the involved ...is of general vality since no peculiar constraints are imposed upon the coecients of the recurrence ...context ... See full document
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The dual Hahn q-Polynomials in the lattice
... that the Lie Groups Representation Theory plays a very important role in the Quantum Theory and in the Special Function ...Theory. The group theory is an ef- fective tool for the ... See full document
21
We obtain an explicit expression for the Sobolev-type orthogonal polynomials
... structure of the paper is the ...to classical Jacobi ...for the Jacobi- Sobolev-type orthogonal polynomials in terms of the classical ones and ... See full document
20
Matrix moment perturbations and the inverse Szegő matrix transformation
... for the first time in ...1894 and 1895) dedicated to the study of continued ...fractions. The moment problem is a question in classical analysis that has produced a rich theory ... See full document
21
WKB Approximations and Krall-type orthogonal polynomials.
... modication of classical functionals have been considered also for the discrete orthogo- nal ...Bavinck and van Haeringen [9] obtained an innite order dierence equation for generalized ... See full document
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E. Buend a - The distribution of zeros of general q-polynomials.
... In the last decade an increasing interest on the so called q-orthogonal polynomials (or basic orthogonal polynomials) is observed ( for a review see [1], [2] and ... See full document
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On the q-polynomials: A distributional study.
... Both the distributional equation (2.11) and the Sturm–Liouville equation ...a q-classical functional and its corresponding OPS by means of and .... The 1rst ... See full document
40
On the relation between the full Kostant-Toda lattice and multiple orthogonal polynomials
... We underline that, in a different context (cf. [2, Theorem 2]), the characterization of solutions of an integrable system was established in terms of the derivative of the polynomials a[r] ... See full document
11
On characterizations of classical polynomials
... (s) and ∇ f (s) = f (s) − f (s − 1) denote the forward and backward difference operators, ...One of the properties of the above equation is that its polynomial solutions ... See full document
18
Two applications of the subnormality of the Hessenberg matrix related to general orthogonal polynomials
... A matrix versión of this theorem, (see [5,pp. 68]), and Zhedanov has constructed, using the symmetrized Al-Salam-Carlitz polynomials, examples of orthogonal polynomials for a discrete m[r] ... See full document
7
On the Krall-type discrete polynomials
... cases of quasi-definite linear functionals are the classical ones (those of Ja- cobi, Laguerre, Hermite, and ...In the last years perturbations of the func- tional ... See full document
18
Some Extension of the Bessel Type Orthogonal Polynomials.
... structure of the paper is as follows. In Section 2 we list some of the main properties of the classical Bessel polynomials which will be used later ...dene ... See full document
17
DUAL PROPERTIES OF ORTHOGONAL POLYNOMIALS OF DISCRETE VARIABLES ASSOCIATED WITH THE QUANTUM ALGEBRA Uq (su(2))
... for the classical and alternative Hahn and Racah polynomials as well as for their ...establish the connection between classical and alternative ...for the ... See full document
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RECURRENCE RELATIONS FOR CONNECTION COEFFICIENTS BETWEEN Q-ORTHOGONAL POLYNOMIALS OF DISCRETE
... semi-classical and is very large [11], [7] . The classical (con- tinuous) family: Jacobi, Bessel, Laguerre, Hermite (see for instance [12]) and the ... See full document
14
The q-classical polynomials and the q-Askey and Nikiforov-Uvarov Tableaus
... Uvarov, Polynomial Solutions of hypergeometri type dierene Equations. and their lassiation[r] ... See full document
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