Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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Multinomial Probability Distribution and Quantum Deformed Algebras

  • Received : 2022.04.04
  • Accepted : 2022.11.28
  • Published : 2023.09.30
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Abstract

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.

Keywords

Acknowledgement

This work was supported by the SNF Grant No. IZSEZ0_206010.

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