Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775592 | Applied Mathematics and Computation | 2017 | 22 Pages |
Abstract
We consider the system of biorthogonal polynomials {Pn, Qn}n ⥠0 with respect to a complex valued measure supported on the unit circle and give a uniform compound asymptotic expansion formula consisting of the sum of two inverse factorial series, giving the explicit expression of the terms and including error bounds. As a consequence we prove that the set of accumulation points of the zeros these polynomials is included in the unit circle. Some numerical experiments are included.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J. Borrego-Morell, F.R. Rafaeli,