From Krall discrete orthogonal polynomials to Krall polynomials

WKB Approximation and Krall-Type Orthogonal Polynomials

Abstract. We give a unified 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 Dirac delta functions. Some examples studied by different authors are considered from a unique point of view. Also some properties of the Krall-type polynomials are studied. The threeterm recurrence...

Krall-type orthogonal polynomials in several variables

For a bilinear form obtained by adding a Dirac mass to a positive definite moment functional in several variables, explicit formulas of orthogonal polynomials are derived from the orthogonal polynomials associated with the moment functional. Explicit formula for the reproducing kernel is also derived and used to establish certain inequalities for classical orthogonal polynomials. MSC 2000 : 42C...

On the Krall-type polynomials

Using a general and simple algebraic approach, some results on Krall-type orthogonal polynomials and some of their extensions are obtained. E-mail: [email protected], [email protected], [email protected]

Limit relations between q-Krall type orthogonal polynomials

In this paper, we consider a natural extension of several results related to Krall-type polynomials introducing a modification of a q-classical linear functional via the addition of one or two mass points. The limit relations between the q-Krall type modification of big q-Jacobi, little q-Jacobi, big q-Laguerre, and other families of the q-Hahn tableau are established.

The q-Racah-Krall-type polynomials