Recursive relations, Jacobi matrices, moment problems and continued fractions

B. El Wahbi, M. Rachidi, E.H. Zerouali
2004 Pacific Journal of Mathematics  
We investigate in this paper the link between the moment problem for recursive sequences, the associated Jacobi matrices and the associated analytic functions. We generalize some classical results by providing simple proofs that use functional calculus.
doi:10.2140/pjm.2004.216.39 fatcat:wkjevj3ojzgubefzecoimtncv4