The Jacobi operator and its Donoghue $m$-functions

Fritz Gesztesy, Mateusz Piorkowski, Jonathan Stanfill

In this paper we construct Donoghue $m$-functions for the Jacobi differential operator in $L^2((-1,1);(1-x{)}^{\alpha }(1+x{)}^{\beta }dx)$, associated to the differential expression \begi…