@article{oai:aue.repo.nii.ac.jp:00007372, author = {Asai, Nobuhiro}, issue = {1}, journal = {Journal of Mathematical Physics}, month = {Jan}, note = {text, The main purpose of this paper is to propose an ( , q)-analogue of the Poisson operators on the Fock space of type B in the sense of Boz˙ ejko, 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 Boz˙ ejko-Ejsmont-Hasebe but also the non-symmetric ones such as free Poisson, q and q2-deformations of Poisson, Pascal, Gamma, and Meixner distributions.}, title = {Poisson type operators on the Fock space of type B}, volume = {60}, year = {2019} }