[PDF] Top 20 Some Extension of the Bessel Type Orthogonal Polynomials.
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Some Extension of the Bessel Type Orthogonal Polynomials.
... obtain the generalized polynomials orthogonal with respect to the quasi-denite moment functional (see ...All the formulas and properties for the classical Bessel ... See full document
17
We obtain an explicit expression for the Sobolev-type orthogonal polynomials
... study of some particular cases of orthogonal polynomials in Sobolev spaces has attracted the interest of several authors [1], [9], [15], [20], [21] and ...to the ... See full document
20
Mellin transforms for some families of q-polynomials
... number of integrals that extend the classical beta integral of Euler (see ...associated orthogonal polynomials that have played a signiGcant role in the development of ... See full document
10
On the q-polynomials: A distributional study.
... that the theory of orthogonal polynomials on the non-uniform lattices is based not on the Pearson equation and on the hypergeometric-type di<erence equation ... See full document
40
The modification of classical Hahn polynomials of a discrete variable.(revised version October 1996)
... study of orthogonal polynomials with respect to a modication of a linear functional in the linear space of polynomials with real coecients via the addition ... See full document
14
On the Krall-type polynomials
... and the mass points are located at the ends of the interval or orthogonal- ...studied the corresponding sequences of orthogonal polynomials in several ... See full document
14
A characterization of the classical orthogonal discrete and q-polynomials
... classical orthogonal polynomials are very interesting mathematical objects that have attracted the attention not only of mathematicians since their appearance at the end of ... See full document
7
Matrix moment perturbations and the inverse Szegő matrix transformation
... for the first time in ...to the study of continued fractions. The moment problem is a question in classical analysis that has produced a rich theory in applied and pure ...to the theory ... See full document
21
WKB Approximations and Krall-type orthogonal polynomials.
... analysis of properties of polynomials orthogonal with respect to a perturbation of a measure via the addition of mass points was introduced by ...There the asymp- ... See full document
28
DUAL PROPERTIES OF ORTHOGONAL POLYNOMIALS OF DISCRETE VARIABLES ASSOCIATED WITH THE QUANTUM ALGEBRA Uq (su(2))
... symmetries of quantum states play an important role in explaining the degeneracy of energy levels ...[1]. The connection of the energy levels of the hydrogen atom ... See full document
28
Procesos de difusión en una dimensión y polinomios ortogonales
... describe the general theory of diffusion processes, which contains as a particular case the solutions of stochastic differential ...equations. The idea of the theory is to ... See full document
53
On the “Favard theorem” and its extensions
... in the sense that from information about polynomials we can deduce what kind of inner product induces orthogonality for such ...polynomials. The aim of this contribution is to ... See full document
24
A simple proof of the irrationality of the trilog
... Indeed the point to stress here is that orthogonal polynomials have an integral representation ([1] pg. 373) that permits to guess, at least in some cases, what kin[r] ... See full document
9
RECURRENCE RELATIONS FOR CONNECTION COEFFICIENTS BETWEEN Q-ORTHOGONAL POLYNOMIALS OF DISCRETE
... Swarttouw The Askey-scheme of hypergeometric orthog- onal polynomials and its ...Reports of the Faculty of Technical Math- ematics and Informatics ... See full document
14
A q-extension of the generalized Hermite polynomials with the continuous orthogonality property on R
... and of an odd degree H (µ) 2n+1 (x; q), m, n = 0, 1, 2, ...evidently orthogonal to each ...degrees of polynomials m and n are either simultaneously even or ...first the former ... See full document
8
The limit relations between generalized orthogonal polynomials.(revised version October 1996)
... representation of generalized polynomials in terms of the classical ones when we add one point mass at zero (Laguerre, Meixner, Charlier, Kravchuk) or two mass points at the ends ... See full document
22
On the properties for modifications of classical orthogonal polynomials of discrete variables. (revised version October 1996)
... that the Meixner polynomials satisfy a second order dierence ...in the dierence equation of hypergeometric type for Meixner polynomials the function (x) is equal to ... See full document
14
8542 pdf
... in the Space of Riemman Integrable Functions”, en el cual definieron un tipo de convergencia en el espacio de las funciones Riemann integrables sobre el hipercubo cerrado [a, b] de R n ... See full document
70
On a q-extension of the Hermite polynomials Hn(x) with the continuous orthogonality property on R
... (x), whih satises ontinuous orthogonality on the whole real line R with respet.. to the positive weight funtion..[r] ... See full document
11
On the Krall-type polynomials on q-quadratic lattices
... On the Krall-Hermite and Krall-Bessel polynomials, ...Haine, The Bochner-Krall problem: some new ...Askey-Wilson type functions, with bound ... See full document
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