Methods and Applications of Analysis
Volume 14 (2007)
Asymptotics for Polynomials Satisfying a Certain Twin Asymptotic Periodic Recurrence Relation: Unbounded Cases
Pages: 29 – 44
Polynomials satisfying a certain twin asymptotic periodic recurrence relation are considered. It is assumed that the coefficients of the recurrence formula are unbounded but vary regularly and have different behaviour for even and odd indices. The asymptotic behaviour of the ratio of contiguous polynomials is analyzed.
Orthogonal L-polynomials; Stieltjes transforms; three term recurrence relation
2010 Mathematics Subject Classification
Primary 42C05. Secondary 30C15, 40A30.