Explicit forms of \(q\) -deformed Lévy-Meixner polynomials and their generating functions
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Publication:925944
DOI10.1007/s10114-007-1019-4zbMath1149.05008OpenAlexW2355275847MaRDI QIDQ925944
Ying Wu, Pei Yan Li, Zhi Yuan Huang
Publication date: 26 May 2008
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-007-1019-4
(q)-calculus and related topics (05A30) Free probability and free operator algebras (46L54) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)
Cites Work
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- An example of a generalized Brownian motion
- The q-analogue of the Laguerre polynomials
- Free martingale polynomials.
- Stochastic processes and orthogonal polynomials
- Explicit forms of Wick tensor powers in general white noise spaces
- Conditional moments of \(q\)-Meixner processes
- Lie algebras and recurrence relations. III: \(q\)-analogs and quantized algebras
- A one-parameter family of transforms, linearizing convolution laws for probability distributions
- Interacting Fock expansion of Lévy white noise functionals
- Lévy white noise calculus based on interaction exponents
- q -deformed Poisson random variables on q-Fock space
- q-Pollaczek Polynomials and a Conjecture of Andrews and Askey
- On Sieved Orthogonal Polynomials. V: Sieved Pollaczek Polynomials
- Convolutions of Orthonormal Polynomials
- GENERATING FUNCTIONS OF EXPONENTIAL TYPE FOR ORTHOGONAL POLYNOMIALS
- Aq-deformed Poisson distribution based on orthogonal polynomials
- Appell polynomials and their relatives
- Orthogonale Polynomsysteme Mit Einer Besonderen Gestalt Der Erzeugenden Funktion
- q-Lévy processes
- A q deformation of the Gauss distribution
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