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[PDF] Top 20 Asymptotic properties of generalized Laguerre orthogonal polynomials

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Asymptotic properties of generalized Laguerre orthogonal polynomials

Asymptotic properties of generalized Laguerre orthogonal polynomials

... L (α) n (x) = 2 − 1 π − 1/2 e x/2 ( − x) − α/2 − 1/4 n α/2 − 1/4 e 2( − nx) 1 / 2 1 + O n − 1/2 . (4) This relation holds for x in the complex plane cut along the positive real semiaxis; both ( − x) − α/2 − 1/4 and ( − ... See full document

14

The limit relations between generalized orthogonal polynomials.(revised version October 1996)

The limit relations between generalized orthogonal polynomials.(revised version October 1996)

... the Laguerre, Charlier, Meixner and Kravchuk ...Hahn polynomials which involve two point masses at the ends of the interval of ...reason of such a choice of the point in which we ... See full document

22

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

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

... the properties of the Hermite and Gegenbauer polynomials which will ...the generalized Hermite polynomials and Section 4 is devoted to the Gegenbauer ...terms of the classical ... See full document

21

On characterizations of classical polynomials

On characterizations of classical polynomials

... Hermite, Laguerre, Jacobi, and Bessel ...other properties characterizing such families and that can be used to define the classical ...Jacobi, Laguerre, and Hermite polynomials by Sonin in ... See full document

18

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

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

... hypergeometric polynomials in a continous or a discrete variable, whose canonical forms are the so-called classical orthogonal polynomial systems, are objects which naturally appear in a broad range ... See full document

19

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)

... Charlier polynomials and continue the algebraic approach presented by Godoy, Marcellan, Salto, Zarzo ( see [7] ) in the framework of a more general theory based in the addition of a delta Dirac ... See full document

14

WKB Approximations and Krall-type orthogonal polynomials.

WKB Approximations and Krall-type orthogonal polynomials.

... addition of one or more delta Dirac ...point of view. Also some properties of the Krall polynomials are ...such polynomials satisfy which allows us to obtain the central moments ... See full document

28

A generalization of the classical Laguerre polynomials: Asymptotic Properties and Zeros.

A generalization of the classical Laguerre polynomials: Asymptotic Properties and Zeros.

... location of the zeros of these new orthog- onal ...1 of them are positive and the other one is negative and is attracted by the end of the support with order O ( n ... See full document

18

Some Extension of the Bessel Type Orthogonal Polynomials.

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 ...the generalized ... See full document

17

On the Krall-type polynomials

On the Krall-type polynomials

... kind of perturbations can be seen as the simplest (lower order) discrete-continuous version of the “bispectral” ...consists of describing all Schr¨odinger type differential operators of second ... See full document

14

Procesos de difusión en una dimensión y polinomios ortogonales

Procesos de difusión en una dimensión y polinomios ortogonales

... loss of memory, which means that one can make estimates of the future of the process based solely on its present state just as one could know the full history of the ...state of the ... See full document

53

Matrix spherical functions and orthogonal polynomials:
			an instructive example

Matrix spherical functions and orthogonal polynomials: an instructive example

... tions of any compact Riemannian symmetric space of rank one can be ex- pressed in terms of the Jacobi ...purpose of this paper is to revisit the matrix valued spherical functions associated to ... See full document

15

8542 pdf

8542 pdf

... Por lo dem´ as, se han publicado generalizaciones de algunos de los resultados que aparecen aqu´ı. Por ejemplo para el caso del teorema 2.2, en el art´ıculo ”F´ ormulas de cuadratura para intervalos no acotados” ... See full document

70

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

... In this paper we study in detail a q-extension of the generalized Hermite polynomials of Szeg˝ o. A continuous orthogonality property on R with respect to the positive weight function is ... See full document

8

RECURRENCE RELATIONS FOR CONNECTION COEFFICIENTS BETWEEN Q-ORTHOGONAL POLYNOMIALS OF DISCRETE

RECURRENCE RELATIONS FOR CONNECTION COEFFICIENTS BETWEEN Q-ORTHOGONAL POLYNOMIALS OF DISCRETE

... Askey-scheme of hypergeometric orthog- onal polynomials and its ...Reports of the Faculty of Technical Math- ematics and Informatics ... See full document

14

Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials

Higher order hypergeometric Lauricella function and zero asymptotics of orthogonal polynomials

... Our aim here is to express in terms of higher order hypergeometric Lauricella functions the corresponding asymptotic contracted measure of zeros for the sequence {P n (x)}™ =1 to be de[r] ... See full document

7

Updating weighting matrices by cross entropy

Updating weighting matrices by cross entropy

... construction of W matrices based on some «empirical» evidence about the variables of the ...critical of the «exogenous approach», because the spatial lag operator imposed can be very dif- ferent from ... See full document

18

Black holes within asymptotic safety

Black holes within asymptotic safety

... tion gives rise to the RG improved radial function shown in Fig. 12. The func- tion smoothly interpolates between classical flat space and a improvement scheme dependent positive constant f (0) < 1. Notably f (r) ... See full document

43

On the “Favard theorem” and its extensions

On the “Favard theorem” and its extensions

... that the main dierence with the recurrence relation analyzed in Section 2 is that here only two consecutive polynomials are involved and the reciprocal polynomial is needed. On the other hand, the basic parameters ... See full document

24

On the Krall-type discrete polynomials

On the Krall-type discrete polynomials

... cases of quasi-definite linear functionals are the classical ones (those of Ja- cobi, Laguerre, Hermite, and ...perturbations of the func- tional via the addition of Dirac delta ... See full document

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