# Lancaster distributions and Markov chains with multivariate Poisson-Charlier, Meixner and Hermite-Chebycheff polynomial eigenfunctions

@article{Griffiths2014LancasterDA, title={Lancaster distributions and Markov chains with multivariate Poisson-Charlier, Meixner and Hermite-Chebycheff polynomial eigenfunctions}, author={Robert C. Griffiths}, journal={J. Approx. Theory}, year={2014}, volume={207}, pages={139-164} }

## 4 Citations

### Quasi-birth-and-death processes and multivariate orthogonal polynomials

- MathematicsJournal of Mathematical Analysis and Applications
- 2021

### Reproducing kernel orthogonal polynomials on the multinomial distribution

- MathematicsJ. Approx. Theory
- 2019

### Multivariate Krawtchouk Polynomials and Composition Birth and Death Processes

- MathematicsSymmetry
- 2016

This paper defines the multivariate Krawtchouk polynomials, orthogonal on the multinomial distribution, and summarizes their properties as a review, and deals with the spectral representation of transition functions in a composition birth and death process.

### A superintegrable discrete oscillator and two-variable Meixner polynomials

- Mathematics
- 2015

A superintegrable, discrete model of the quantum isotropic oscillator in two-dimensions is introduced. The system is defined on the regular, infinite-dimensional N × N ?> lattice. It is governed by a…

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