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• W2912335351 abstract "The main purpose of this paper is to propose an (α, q)-analogue of the Poisson operators on the Fock space of type B in the sense of Bożejko, Ejsmont, and Hasebe [J. Funct. Anal. 269, 1769–1795 (2015)] and to find a probability law of this operator. We shall show that the probability law is expressed by the q-Meixner distribution in the sense of Definition 3.2. Our results contain not only symmetric distributions as in Bożejko-Ejsmont-Hasebe but also the non-symmetric ones such as free Poisson, q and q2-deformations of Poisson, Pascal, Gamma, and Meixner distributions." @default.
• W2912335351 created "2019-02-21" @default.
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• W2912335351 date "2019-01-01" @default.
• W2912335351 modified "2023-09-23" @default.
• W2912335351 title "Poisson type operators on the Fock space of type B" @default.
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• W2912335351 doi "https://doi.org/10.1063/1.5074114" @default.
• W2912335351 hasPublicationYear "2019" @default.
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