Discrete-continuous bispectral operators and Rational Darboux transformations

C. BOYALLIAN, S. PORTILLO

Trabajo en preparación

Año: 2008 p. 1 - 9

In this article we construct examples of discrete-continuous bispectral operators obtained by rational Darboux transformations applied to an appropriate pseudo- difference operators with constant coeficients. Moreover, we give an explicit pro- cedure to write down the differential operators involved in the bispectral situation corresponding to the pseudo-difference finite band operator obtained by the Dar- boux process.