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 |
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| 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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