Search
Now showing items 11-20 of 69
Jacobi-Sobolev-type orthogonal polynomials: second-order differential equation and zeros [Article]
(Elsevier, 1998-04-17)
We obtain an explicit expression for the Sobolev-type orthogonal polynomials {Qn} associated with the inner product 〈p,q〉=∫−11 p(x)q(x)p(x)dx + A1p(1)q(1) + B1p(−1)q(−1) + A2p′(1)q′(1) + B2p′(−1)q′(−1), where p(x) = (1 − ...
Modified Clebsch-Gordan-type expansions for products of discrete hypergeometric polynomials [Article]
(Elsevier, 1998-03-09)
Starting from the second-order difference hypergeometric equation satisfied by the set of discrete orthogonal polynomials ∗pn∗, we find the analytical expressions of the expansion coefficients of any polynomial rm(x) and ...
Second order difference equations for certain families of discrete polynomials [Article]
(Elsevier, 1998-11-16)
In this paper we will consider two algorithms which allow us to obtain second order linear di erence equations for certain families of polynomials. The corresponding algorithms can be implemented in any computer algebra ...
q-Deformed Vibron model for diatomic molecules [Article]
(American Physical Society, 1994-08)
A deformed version of the vibron model for diatomic molecules is constructed. Both the O(4) and U(3) dynamical symmetries of the model are rewritten, using the concept of complementary subalgebras, in a more convenient ...
Estabilidad de la propiedad del punto fijo para aplicaciones no-expansivas [Doctoral Thesis]
(1998)
La teoría métrica del punto fijo estudia la existencia de dichos puntos para aplicaciones definidas en un espacio métrico y bajo condiciones que no son invariantes al pasar a métricas equivalentes. En este aspecto, el ...
Two weighted norm inequalities for Riesz potentials and uniform Lp-weigthed Sobolev inequalities [Article]
(Indiana University, 1990)
A pointwise estimate for the kernel of a pseudo-differential operator, with applications [Article]
(Unión Matemática Argentina, 1991)
A generalization of the classical Laguerre polynomials [Article]
(Springer, 1995)
We consider a modi cation of the gamma distribution by adding a discrete measure supported in the point x = 0. For large n we analyze the existence of orthogonal polynomials with respect to such a distribution. Finally we ...
On the q-polynomials on the exponential lattice x(s)= c 1 qs + c 3 [Article]
(Taylor & Francis, 1999)
The main goal of this paper is to continue the study of the q-polynomials on non-uniform lattices by using the approach introduced by Nikiforov and Uvarov in 1983. We consider the q-polynomials on the non-uniform exponential ...
The modification of classical Hahn polynomials of a discrete variable [Article]
(Taylor & Francis, 1995)
We consider a modi cation of moment functionals for the Hahn classical polynomials of a discrete variable by adding two mass points at the ends of the interval, i.e., in x = 0 and x = N 1. We obtain the resulting orthogonal ...