ABSTRACT
We give the system of Laguerre–Freud equations for the recurrence coefficients ,
,
, of orthogonal polynomials with respect to a
-Laguerre–Hahn form (linear functional) of class one, where
is the divided difference operator. This system is solved in the symmetric case. There are essentially two canonical cases.
MATHEMATICS SUBJECT CLASSIFICATIONS:
Acknowledgments
The authors thank the referee(s) for their valuable comments and their careful reading of the manuscript.
Disclosure statement
No potential conflict of interest was reported by the author(s).