Solution of an Open Problem about Two Families of Orthogonal Polynomials
An open problem about two new families of orthogonal polynomials was posed by Alhaidari. Here, we will identify one of them as Wilson polynomials. The other family seems to be new, but we show that they are discrete orthogonal polynomials on a bounded countable set with one accumulation point at 0,...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2019 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2019
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/210070 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Solution of an Open Problem about Two Families of Orthogonal Polynomials / W. Van Assche // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 16 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862715254712041472 |
|---|---|
| author | Van Assche, W. |
| author_facet | Van Assche, W. |
| citation_txt | Solution of an Open Problem about Two Families of Orthogonal Polynomials / W. Van Assche // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | An open problem about two new families of orthogonal polynomials was posed by Alhaidari. Here, we will identify one of them as Wilson polynomials. The other family seems to be new, but we show that they are discrete orthogonal polynomials on a bounded countable set with one accumulation point at 0, and we give some asymptotics as the degree tends to infinity.
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| first_indexed | 2025-12-07T21:24:16Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-210070 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T21:24:16Z |
| publishDate | 2019 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Van Assche, W. 2025-12-02T09:38:12Z 2019 Solution of an Open Problem about Two Families of Orthogonal Polynomials / W. Van Assche // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 16 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 42C05; 33A45 arXiv: 1901.09332 https://nasplib.isofts.kiev.ua/handle/123456789/210070 https://doi.org/10.3842/SIGMA.2019.005 An open problem about two new families of orthogonal polynomials was posed by Alhaidari. Here, we will identify one of them as Wilson polynomials. The other family seems to be new, but we show that they are discrete orthogonal polynomials on a bounded countable set with one accumulation point at 0, and we give some asymptotics as the degree tends to infinity. WVA is supported by the EOS project PRIMA 30889451 and the FWO research project G.086416N. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Solution of an Open Problem about Two Families of Orthogonal Polynomials Article published earlier |
| spellingShingle | Solution of an Open Problem about Two Families of Orthogonal Polynomials Van Assche, W. |
| title | Solution of an Open Problem about Two Families of Orthogonal Polynomials |
| title_full | Solution of an Open Problem about Two Families of Orthogonal Polynomials |
| title_fullStr | Solution of an Open Problem about Two Families of Orthogonal Polynomials |
| title_full_unstemmed | Solution of an Open Problem about Two Families of Orthogonal Polynomials |
| title_short | Solution of an Open Problem about Two Families of Orthogonal Polynomials |
| title_sort | solution of an open problem about two families of orthogonal polynomials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/210070 |
| work_keys_str_mv | AT vanasschew solutionofanopenproblemabouttwofamiliesoforthogonalpolynomials |