From Krall discrete orthogonal polynomials to Krall polynomials

Abstract

We show how to get Krall polynomials from Krall discrete polynomials using a procedure of passing to the limit in some of the parameters of the family. We also show that this procedure has to be different to the standard one used in the Askey scheme to go from the classical discrete polynomials to the classical polynomials.

Dual polynomials of the multi-indexed (q-)Racah orthogonal polynomials

“…For example, the case-(1) multiindexed polynomials are not allowed for some reduced polynomials. See[51] for similar situation in the Krall-type case.3. For each (exactly solvable) rdQM system, we can construct the (exactly solvable) birth and death process[52], which is a stationary Markov chain.…”