Measures for orthogonal polynomials with unbounded recurrence   coefficients
  Systems of orthogonal polynomials whose recurrence coefficients tend to infinity are considered. A summability condition is imposed on the coefficients and the consequences for the measure of orthogonality are discussed. Also discussed are asymptotics for the polynomials. 
A. I. Aptekarev and J. S. Geronimo
math.CA