Orthogonal Polynomials Associated with Complementary Chain Sequences
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Orthogonal Polynomials Associated with Complementary Chain Sequences
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| Creator |
Behera, K.K.
Sri Ranga, A. Swaminathan, A. |
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| Description |
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 Szegő polynomials are analyzed. Two illustrations, one involving Gaussian hypergeometric functions and the other involving Carathéodory functions are also provided. A connection between these two illustrations by means of complementary chain sequences is also observed.
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| Date |
2019-02-16T09:11:46Z
2019-02-16T09:11:46Z 2016 |
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| Type |
Article
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| Identifier |
Orthogonal Polynomials Associated with Complementary Chain Sequences / K.K. Behera, A. Sri Ranga, A. Swaminathan // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 27 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 42C05; 33C45; 30B70 DOI:10.3842/SIGMA.2016.075 http://dspace.nbuv.gov.ua/handle/123456789/147841 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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