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Melong, Fridolin (2023). Multinomial Probability Distribution and Quantum Deformed Algebras. Kyungpook Mathematical Journal, 63:463-484.
An examination is conducted on the multinomial coefficients derived from generalized quantum deformed algebras, and on their recurrence relations. The R(p, q)-deformed multinomial probability distribution and the negative R(p, q)-deformed multinomial probability distribution are constructed, and the recurrence relations are determined.
From our general result, we deduce particular cases that correspond to quantum algebras considered in the literature.
| Item Type: | Journal Article, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics
Physical Sciences > Applied Mathematics |
| Uncontrolled Keywords: | 2020 Mathematics Subject Classification: 17B37, 81R50, 60E05. Key words and phrases: R(p, q)-calculus, Quantum algebra, Multinomial coefficients, Multinomial distribution, Negative multinomial distribution. |
| Language: | English |
| Date: | 2023 |
| Deposited On: | 11 Jan 2024 10:41 |
| Last Modified: | 28 Apr 2025 01:37 |
| Publisher: | Kyungpook National University |
| ISSN: | 1225-6951 |
| OA Status: | Green |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.5666/KMJ.2023.63.3.463 |
| Project Information: |
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Melong, Fridolin