Recursive relations, Jacobi matrices, moment problems and continued fractions

B. El Wahbi, M. Rachidi and E.H. Zerouali

Vol. 216 (2004), No. 1, 39–50

DOI: 10.2140/pjm.2004.216.39

Abstract

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.

Milestones

Received: 10 March 2003

Revised: 29 October 2003

Published: 1 September 2004