### Abstract

Classical Gaussian polynomials are generalized to two variable polynomials. The first half of the paper is devoted to a full account of this extension and its inherent properties. The final part of the paper considers the role of these polynomials in finite identities of the Rogers-Ramanujan type.

Original language | English (US) |
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Title of host publication | THEORY AND APPLICATIONS OF SPECIAL FUNCTIONS |

Editors | ISMAIL MOURAD, ERIK KOELINK |

Pages | 39-60 |

Number of pages | 22 |

State | Published - Dec 1 2005 |

### Publication series

Name | Developments in Mathematics |
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Volume | 13 |

ISSN (Print) | 1389-2177 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*THEORY AND APPLICATIONS OF SPECIAL FUNCTIONS*(pp. 39-60). (Developments in Mathematics; Vol. 13).

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*THEORY AND APPLICATIONS OF SPECIAL FUNCTIONS.*Developments in Mathematics, vol. 13, pp. 39-60.

**a-Gaussian polynomials and finite rogers-ramanujan identities.** / Andrews, George E.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

TY - CHAP

T1 - a-Gaussian polynomials and finite rogers-ramanujan identities

AU - Andrews, George E.

PY - 2005/12/1

Y1 - 2005/12/1

N2 - Classical Gaussian polynomials are generalized to two variable polynomials. The first half of the paper is devoted to a full account of this extension and its inherent properties. The final part of the paper considers the role of these polynomials in finite identities of the Rogers-Ramanujan type.

AB - Classical Gaussian polynomials are generalized to two variable polynomials. The first half of the paper is devoted to a full account of this extension and its inherent properties. The final part of the paper considers the role of these polynomials in finite identities of the Rogers-Ramanujan type.

UR - http://www.scopus.com/inward/record.url?scp=77954175647&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77954175647&partnerID=8YFLogxK

M3 - Chapter

SN - 0387242317

SN - 9780387242316

T3 - Developments in Mathematics

SP - 39

EP - 60

BT - THEORY AND APPLICATIONS OF SPECIAL FUNCTIONS

A2 - MOURAD, ISMAIL

A2 - KOELINK, ERIK

ER -