Discrete-continuos bispectral operatoros and rational Darboux transformations

C. BOYALLIAN Y SOFIA PORTILLO

PHYSICS LETTERS A

ELSEVIER SCIENCE BV

Año: 2010 vol. 347 p. 1320 - 1325

0375-9601

In this Letter we construct examples of discrete-continuous bispectral operators obtained by rational Darboux transformations applied to a regular pseudo-difference operator with constant coefficients. Moreover, we give an explicit procedure to write down the differential operators involved in the bispectral situation corresponding to the pseudo-difference operator obtained by the Darboux process. Darboux transformations applied to a regular pseudo-difference operator with constant coefficients. Moreover, we give an explicit procedure to write down the differential operators involved in the bispectral situation corresponding to the pseudo-difference operator obtained by the Darboux process.