http://repository.iitr.ac.in/handle/123456789/10037| Title: | Biorthogonal rational functions of RII-type |
| Authors: | Behera K.K. Swaminathan, Anbhu |
| Published in: | Proceedings of the American Mathematical Society |
| Abstract: | In this work, a sequence of orthonormal rational functions leading to recurrence relations of RII-type is constructed. This sequence is proved to be biorthogonal to another sequence of rational functions as well. Two illustrations of such recurrence relations of RII-type, one through the associated linear pencil matrix leading to the-1 little Jacobi polynomials and the other through the bilinear transformation yielding the Bannai-Ito polynomials, which are orthogonal on the real line are exhibited. © 2019 American Mathematical Society. |
| Citation: | Proceedings of the American Mathematical Society (2019), 147(7): 3061-3073 |
| URI: | https://doi.org/10.1090/proc/14443 http://repository.iitr.ac.in/handle/123456789/10037 |
| Issue Date: | 2019 |
| Publisher: | American Mathematical Society |
| Keywords: | Biorthogonality Christoffel-type transform Generalized eigenvalue problem Orthogonal rational functions Rational approximation Tridiagonal matrices |
| ISSN: | 29939 |
| Author Scopus IDs: | 57190970290 55209564300 |
| Author Affiliations: | Behera, K.K., DEPARTMENT OF MATHEMATICS, INDIAN INSTITUTE OF TECHNOLOGY, ROORKEE, UTTARAKHAND 247667, India Swaminathan, A., DEPARTMENT OF MATHEMATICS, INDIAN INSTITUTE OF TECHNOLOGY, ROORKEE, UTTARAKHAND 247667, India |
| Appears in Collections: | Journal Publications [MA] |
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