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Mostrando ítems 11-20 de 31
Artículo
Some limit relations in the A1 tableau of Dunkl-Cherednik operators
(Elsevier, 2003-12-15)
In this paper we study some limit relations involving some q-special functions related with the A1 (root system) tableau of Dunkl-Cherednik operators. Concretely we consider the limits involving the nonsymmetric q-ultraspherical ...
Artículo
Structural and recurrence relations for hypergeometric-type functions by Nikiforov-Uvarov method
(Kent State University, 2009)
The functions of hypergeometric-type are the solutions y = yν(z) of the differential equation σ(z)y ′′ + τ(z)y ′ + λy = 0, where σ and τ are polynomials of degrees not higher than 2 and 1, respectively, and λ is a constant. ...
Artículo
On the "Favard theorem" and its extensions
(Elsevier, 2001-01-15)
In this paper we present a survey on the "Favard theorem" and its extensions.
Artículo
Driven and damped double sine-Gordon equation: The influence of internal modes on the soliton ratchet mobility
(2009)
This work studies the damped double sine-Gordon equation driven by a biharmonic force, where a parameter λ controls the existence and the frequency of an internal mode. The role of internal oscillations of the kink width ...
Artículo
Mellin transforms for some families of q-polynomials
(Elsevier, 2003-04-01)
By using Ramanujan's q-extension of the Euler integral representation for the gamma function, we derive the Mellin integral transforms for the families of the discrete q-Hermite II, the Al-Salam–Carlitz II, the big q-Laguerre, ...
Artículo
Modifications of quasi-definite linear functionals via addition of delta and derivatives of delta Dirac functions
(Elsevier, 2004)
We consider the general theory of the modifications of quasi-definite linear functionals by adding discrete measures. We analyze the existence of the corresponding orthogonal polynomial sequences with respect to such linear ...
Artículo
A q-analog of the Racah polynomials and the q-algebra SUq(2)
(Springer, 2006-01)
We study some q-analogues of the Racah polynomials and some of their applications in the theory of representation of quantum algebras.
Artículo
Distribution of zeros of discrete and continuous polynomials from their recurrence relation
(Elsevier, 2002-05-25)
The hypergeometric polynomials in a continous or a discrete variable, whose canonical forms are the so-called classical orthogonal polynomial systems, are ob jects which naturally appear in a broad range of physical and ...
Artículo
On a modification of the Jacobi linear functional asymptotic properties and zeros of the corresponding orthogonal polynomials
(Springer, 2002-04)
The paper deals with orthogonal polynomials in the case where the orthogonality condition is related to semiclassical functionals. The polynomials that we discuss are a generalization of Jacobi polynomials and Jacobi-type ...
Artículo
On the connection and linearization problem for discrete hypergeometric q-polynomials
(Elsevier, 2001-05-01)
In the present paper, starting from the second-order difference hypergeometric equation on the non-uniform lattice x(s) satisfied by the set of discrete hypergeometric orthogonal q-polynomials {pn}, we find analytical ...