On the Krall-type discrete polynomials

• Author(s): Álvarez-Nodarse, R. ; Petronilho, J.
• Date: 2004
• Persistent ID: http://hdl.handle.net/10316/4636
• Origin: Estudo Geral - Universidade de Coimbra
• Subject(s): Quasi-definite linear functionals; Classical discrete polynomials; q-polynomials; Krall-type polynomials; Orthogonal polynomials; Addition of delta Dirac masses
• Document Type: Article
• Language: English

Description

In this paper we present a unified theory for studying the so-called Krall-type discrete orthogonal polynomials. In particular, the three-term recurrence relation, lowering and raising operators as well as the second order linear difference equation that the sequences of monic orthogonal polynomials satisfy are established. Some relevant examples of q-Krall polynomials are considered in detail. http://www.sciencedirect.com/science/article/B6WK2-4CC2YF9-1/1/1bbcf94cc1184e679b497c3b8e754b29