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On the Krall-type discrete polynomials

On the Krall-type discrete polynomials

... also the so-called discrete (see e.g. [8]) and q-discrete Sobolev type orthogonal polynomials associated with the classical discrete and q-classical functionals [23, ... See full document

18

We obtain an explicit expression for the Sobolev-type orthogonal polynomials

We obtain an explicit expression for the Sobolev-type orthogonal polynomials

... orthogonal polynomials in Sobolev spaces has attracted the interest of several authors [1], [9], [15], [20], [21] and ...to the so-called classical Sobolev polynomials of discrete ... See full document

20

A q-extension of the generalized Hermite polynomials with the continuous orthogonality property on R

A q-extension of the generalized Hermite polynomials with the continuous orthogonality property on R

... is the basic hypergeometric polynomial of degree n in the variable z (throughout this paper, we will employ the standard notations of the q-special functions theory, see [9] or ...[10]). ... See full document

8

On the properties for modifications of classical orthogonal polynomials of discrete variables. (revised version October 1996)

On the properties for modifications of classical orthogonal polynomials of discrete variables. (revised version October 1996)

... orthogonal polynomials with respect to a modication of a linear func- tional in the linear space of polynomials with real coecients via the addition of one or two delta Dirac measures has been ... See full document

14

On characterizations of classical polynomials

On characterizations of classical polynomials

... that the classical families of Jacobi, Laguerre, Hermite, and Bessel polynomials are characterized as eigenvectors of a second order linear differential operator with polynomial coefficients, Rodrigues ... See full document

18

On the q-polynomials: A distributional study.

On the q-polynomials: A distributional study.

... to the two previous ones, and, in some sense is the continuation of the Hahn’s work ...that the q-classical polynomials are characterized by several relations, analogue to the ... See full document

40

DUAL PROPERTIES OF ORTHOGONAL POLYNOMIALS OF DISCRETE VARIABLES ASSOCIATED WITH THE QUANTUM ALGEBRA Uq (su(2))

DUAL PROPERTIES OF ORTHOGONAL POLYNOMIALS OF DISCRETE VARIABLES ASSOCIATED WITH THE QUANTUM ALGEBRA Uq (su(2))

... explaining the degeneracy of energy levels [1]. The connection of the energy levels of the hydrogen atom with the irreducible representation of O(4, 2) conformal symmetry was found in ... See full document

28

On the use of discrete cosine transforms for multicarrier communications

On the use of discrete cosine transforms for multicarrier communications

... or the sensitivity to carrier- frequency offsets ...of the local oscillators in the transmitter and the receiver, and by the movement-induced Doppler ...fact, the broad- ening of ... See full document

6

Some Extension of the Bessel Type Orthogonal Polynomials.

Some Extension of the Bessel Type Orthogonal Polynomials.

... 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 the generalized polynomials and ... See full document

17

On the modification of classical orthogonal polynomials: The symmetric case.

On the modification of classical orthogonal polynomials: The symmetric case.

... L. Krall [19] obtained three new classes of polynomials orthogonal with respect to measures which are not absolutely continuous with respect to the Lebesgue ...of the very well known ... See full document

21

Extending polynomials on Banach spaces—A survey

Extending polynomials on Banach spaces—A survey

... Surely the simplest kind of polynomials over a Banach space are the polyno- mials of finite type, those which may be written as P (x) = n i =1 γ i (x) k , where each γ i is a continuous linear ... See full document

28

On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3 .

On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3 .

... Suslov, The theory of dierene analogues of speial funtions of hypergeometri. type[r] ... See full document

23

Distribution of zeros of discrete and continuous polynomials from their recurrence relation.

Distribution of zeros of discrete and continuous polynomials from their recurrence relation.

... only on the three-term recurrence relation satised by the involved ...upon the coecients of the recurrence ...for the study of the distribution of zeros of ... See full document

19

A multidimensional dynamical approach to iterative methods with memory

A multidimensional dynamical approach to iterative methods with memory

... of the dynamical analysis of multivariate real discrete problems to analyze the stability of the fixed points of iterative methods with memory on quadratic ...before on iterative ... See full document

22

On the Krall-type polynomials on q-quadratic lattices

On the Krall-type polynomials on q-quadratic lattices

... Horozov, On the Krall-Hermite and Krall-Bessel polynomials, ...Haine, The Bochner-Krall problem: some new ...Askey-Wilson type functions, with bound ... See full document

30

WKB Approximations and Krall-type orthogonal polynomials.

WKB Approximations and Krall-type orthogonal polynomials.

... of polynomials orthogonal with respect to a perturbation of a measure via the addition of mass points was introduced by ...There the asymp- totic properties of the new polynomials have ... See full document

28

On the Krall-type polynomials

On the Krall-type polynomials

... so the use of the symbolic pack- age Mathematica is again a very useful tool (see [3, 5, ...from the SODE the moments of the zero distribution easily follows using the approach ... See full document

14

Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials

Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials

... orthogonal polynomials, has designed a method which be- gins with the three-term recurrence relation of the involved orthogonal polynomial system to set up a partial dierence equation for the ... See full document

27

A characterization of the classical orthogonal discrete and q-polynomials

A characterization of the classical orthogonal discrete and q-polynomials

... orthogonal polynomials are very interesting mathematical objects that have attracted the attention not only of mathematicians since their appearance at the end of the XVIII century connected ... See full document

7

Low   speed vehicle impact against building structures : a review of relevant codes = Impactos de vehículos a baja velocidad sobre estructuras de edificación : revisión de la normativa relacionada

Low speed vehicle impact against building structures : a review of relevant codes = Impactos de vehículos a baja velocidad sobre estructuras de edificación : revisión de la normativa relacionada

... in the “Technical Building Code” (CTE, 2006), in paragraph ...Buildings”. The indications given in this document are consistent with those included in Part ...while the part 1.7 of Eurocode 1 limits ... See full document

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