Quantum algebras, q-polynomials of Kravchuk and q-functions of Kravchuk-Meixner
Addition and multiplication theorems are proved for Kravchuk q-polynomials by means of methods from the theory of representations of the quantum algebras $U_q (su_2)$ and $U_q(su_{1,1})$, and Kravchuk-Meixner $q$-functions are introduced and are shown to be orthogonal on the set of integers.
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| Date: | 1992 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8130 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512931402219520 |
|---|---|
| author | Groza , V. A. Гроза , В. А. |
| author_facet | Groza , V. A. Гроза , В. А. |
| author_sort | Groza , V. A. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2024-01-31T10:37:42Z |
| description | Addition and multiplication theorems are proved for Kravchuk q-polynomials by means of methods from the theory of representations of the quantum algebras $U_q (su_2)$ and $U_q(su_{1,1})$, and Kravchuk-Meixner $q$-functions are introduced and are shown to be orthogonal on the set of integers. |
| first_indexed | 2026-03-24T03:36:37Z |
| format | Article |
| fulltext |
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T44_0984
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| id | umjimathkievua-article-8130 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T03:36:37Z |
| publishDate | 1992 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/7c/3a9ae7c62dcba7dc2e35309371f78e7c.pdf |
| spelling | umjimathkievua-article-81302024-01-31T10:37:42Z Quantum algebras, q-polynomials of Kravchuk and q-functions of Kravchuk-Meixner Квантові алгебри, q-многочлени Кравчука та q-функції Кравчука — Мейкснера Groza , V. A. Гроза , В. А. - Addition and multiplication theorems are proved for Kravchuk q-polynomials by means of methods from the theory of representations of the quantum algebras $U_q (su_2)$ and $U_q(su_{1,1})$, and Kravchuk-Meixner $q$-functions are introduced and are shown to be orthogonal on the set of integers. Методами теории представлений квантовых алгебр $U_q (su_2)$ и  $U_q(su_{1,1})$ доказываются теоремы сложения и умножения для $q$-многочленов Кравчука, вводятся $q$-функции Кравчука—Мейкснера и доказывается их ортогональность на множестве целых чисел. Методами теорії зображень квантових алгебр $U_q (su_2)$ і $U_q(su_{1,1})$ доводяться теореми додавання та множення для $q$-многочленів Кравчука, вводяться $q$-функції Кравчука—Мейкснера і доводиться їх ортогональність на множині цілих чисел. Institute of Mathematics, NAS of Ukraine 1992-08-03 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8130 Ukrains’kyi Matematychnyi Zhurnal; Vol. 44 No. 7 (1992); 983-986 Український математичний журнал; Том 44 № 7 (1992); 983-986 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/8130/9657 Copyright (c) 1992 V. A. Groza |
| spellingShingle | Groza , V. A. Гроза , В. А. Quantum algebras, q-polynomials of Kravchuk and q-functions of Kravchuk-Meixner |
| title | Quantum algebras, q-polynomials of Kravchuk and q-functions of Kravchuk-Meixner |
| title_alt | Квантові алгебри, q-многочлени Кравчука та q-функції Кравчука — Мейкснера |
| title_full | Quantum algebras, q-polynomials of Kravchuk and q-functions of Kravchuk-Meixner |
| title_fullStr | Quantum algebras, q-polynomials of Kravchuk and q-functions of Kravchuk-Meixner |
| title_full_unstemmed | Quantum algebras, q-polynomials of Kravchuk and q-functions of Kravchuk-Meixner |
| title_short | Quantum algebras, q-polynomials of Kravchuk and q-functions of Kravchuk-Meixner |
| title_sort | quantum algebras, q-polynomials of kravchuk and q-functions of kravchuk-meixner |
| topic_facet | - |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8130 |
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