Now showing items 1-6 of 6
The limit relations between generalized orthogonal polynomials [Article]
We consider the different limit transitions for modifications of the classical polynomials obtained by the addition of one or two point masses at the ends of the interval of orthogonality. The connections between Jacobi, ...
On the properties for modifications of classical orthogonal polynomials of discrete variables [Article]
We consider a modi cation of moment functionals for some classical polynomials of a discrete variable by adding a mass point at x = 0. We obtain the resulting orthogonal polynomials, identify them as hypergeometric functions ...
WKB approximation and Krall-Type orthogonal polynomials [Article]
We give an uni ed approach to the Krall-type polynomials orthogonal with respect to a positive measure consisting of an absolutely continuous one \perturbed" by the addition of one or more delta Dirac functions. Some ...
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 ...
A generalization of the classical Laguerre polynomials [Article]
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 ...
Recurrence relations for connection coefficients between q-orthogonal polynomials of discrete variables in the non-uniform lattice X(s) = q2s [Article]
(Institute of Physics, 1996-11-21)
We obtain the structure relations for q-orthogonal polynomials in the exponential lattice q 2s and from that we construct the recurrence relation for the connection coe cients between two families of polynomials belonging ...