Orthogonal Polynomials Associated with Complementary Chain Sequences
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-orthogo...
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| Дата: | 2016 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147841 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-147841 |
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irk-123456789-1478412019-02-17T01:26:49Z Orthogonal Polynomials Associated with Complementary Chain Sequences Behera, K.K. Sri Ranga, A. Swaminathan, A. 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. 2016 Article 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 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Behera, K.K. Sri Ranga, A. Swaminathan, A. |
| spellingShingle |
Behera, K.K. Sri Ranga, A. Swaminathan, A. Orthogonal Polynomials Associated with Complementary Chain Sequences Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Behera, K.K. Sri Ranga, A. Swaminathan, A. |
| author_sort |
Behera, K.K. |
| title |
Orthogonal Polynomials Associated with Complementary Chain Sequences |
| title_short |
Orthogonal Polynomials Associated with Complementary Chain Sequences |
| title_full |
Orthogonal Polynomials Associated with Complementary Chain Sequences |
| title_fullStr |
Orthogonal Polynomials Associated with Complementary Chain Sequences |
| title_full_unstemmed |
Orthogonal Polynomials Associated with Complementary Chain Sequences |
| title_sort |
orthogonal polynomials associated with complementary chain sequences |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147841 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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2023-05-20T17:28:39Z |
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2023-05-20T17:28:39Z |
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