| Full text | |
| Author(s): |
Behera, Kiran Kumar
;
Sri Ranga, A.
;
Swaminathan, A.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | Symmetry Integrability and Geometry-Methods and Applications; v. 12, 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary chain sequences and the corresponding Verblunsky coefficients, the para-orthogonal polynomials and the associated Szego polynomials are analyzed. Two illustrations, one involving Gaussian hypergeometric functions and the other involving Caratheodory functions are also provided. A connection between these two illustrations by means of complementary chain sequences is also observed. (AU) | |
| FAPESP's process: | 09/13832-9 - Orthogonal polynomials, special functions and applications |
| Grantee: | Dimitar Kolev Dimitrov |
| Support Opportunities: | Research Projects - Thematic Grants |