Two parameterized deformed Poisson type operator and the combinatorial moment formula
From MaRDI portal
Publication:6640897
DOI10.1016/J.JMAA.2024.128888MaRDI QIDQ6640897
Hiroaki Yoshida, Nobuhiro Asai
Publication date: 20 November 2024
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
deformationset partitionsCharlier polynomialspartition statisticscombinatorial moment formulaPoisson type operator (random variable)
Noncommutative probability and statistics (46L53) Enumerative combinatorics (05Axx) General quantum mechanics and problems of quantization (81Sxx)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- An example of a generalized Brownian motion
- Remarks on a free analogue of the beta prime distribution
- Quantum Ito's formula and stochastic evolutions
- Quantum stochastic processes with independent additive increments
- Restricted growth functions, rank row matchings of partition lattices, and q-Stirling numbers
- On the structure of the lattice of noncrossing partitions
- Completely positive maps on Coxeter groups, deformed commutation relations, and operator spaces
- The combinatorics of \(q\)-Charlier polynomials
- Some properties of crossings and partitions
- The \((q, t)\)-Gaussian process
- Juggling and applications to \(q\)-analogues
- Type B Gaussian statistics as noncommutative central limits
- Some set partition statistics in non-crossing partitions and generating functions
- Linearization coefficients for orthogonal polynomials using stochastic processes
- Fock space associated to Coxeter groups of type B
- The generalized Fibonacci oscillator as an open quantum system
- \(q\)-deformed Poisson random variables on \(q\)-Fock space
- The Brenke type generating functions and explicit forms of MRM-triples by means of \(q\)-hypergeometric series
- Free Random Variables
- Aq-deformed Poisson distribution based on orthogonal polynomials
- Poisson type operators on the Fock space of type B
This page was built for publication: Two parameterized deformed Poisson type operator and the combinatorial moment formula
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6640897)
