### Abstract

We introduce an algebra of integral operators related to a model of the q-harmonic oscillator and investigate some of its properties.

Original language | English (US) |
---|---|

Pages (from-to) | 140-155 |

Number of pages | 16 |

Journal | Electronic Transactions on Numerical Analysis |

Volume | 27 |

State | Published - 2007 |

### Fingerprint

### Keywords

- Bilinear generating functions
- Divided difference operators
- Generating functions
- Integral operators
- Poisson kernel
- q-harmonic oscillators
- The continuous q-Hermite polynomials

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

*Electronic Transactions on Numerical Analysis*,

*27*, 140-155.

**An algebra of integral operators.** / Suslov, Sergei.

Research output: Contribution to journal › Article

*Electronic Transactions on Numerical Analysis*, vol. 27, pp. 140-155.

}

TY - JOUR

T1 - An algebra of integral operators

AU - Suslov, Sergei

PY - 2007

Y1 - 2007

N2 - We introduce an algebra of integral operators related to a model of the q-harmonic oscillator and investigate some of its properties.

AB - We introduce an algebra of integral operators related to a model of the q-harmonic oscillator and investigate some of its properties.

KW - Bilinear generating functions

KW - Divided difference operators

KW - Generating functions

KW - Integral operators

KW - Poisson kernel

KW - q-harmonic oscillators

KW - The continuous q-Hermite polynomials

UR - http://www.scopus.com/inward/record.url?scp=37649022024&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=37649022024&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:37649022024

VL - 27

SP - 140

EP - 155

JO - Electronic Transactions on Numerical Analysis

JF - Electronic Transactions on Numerical Analysis

SN - 1068-9613

ER -