| Full text | |
| Author(s): |
Borrego-Morell, J.
;
Rafaeli, F. R.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Applied Mathematics and Computation; v. 313, p. 52-73, NOV 15 2017. |
| Web of Science Citations: | 0 |
| Abstract | |
We consider the system of biorthogonal polynomials [P-n, Q(n)](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. (C) 2017 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 12/21042-0 - Orthogonal polynomials with respect to differential operators and matrix orthogonal polynomials |
| Grantee: | Jorge Alberto Borrego Morell |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |