Finite Rogers-Ramanujan type identities

Andrew V. Sills

doi:10.37236/1706

Finite Rogers-Ramanujan type identities

Andrew V. Sills

Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

50 Scopus citations

2 Downloads (Pure)

Abstract

Polynomial generalizations of all 130 of the identities in Slater's list of identities of the Rogers-Ramanujan type are presented. Furthermore, duality relationships among many of the identities are derived. Some of the these polynomial identities were previously known but many are new. The author has implemented much of the finitization process in a Maple package which is available for free download from the author's website.

Original language	English
Journal	Electronic Journal of Combinatorics
Volume	10
Issue number	1 R
DOIs	https://doi.org/10.37236/1706
State	Published - Apr 23 2003

Scopus Subject Areas

Theoretical Computer Science
Geometry and Topology
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics
Applied Mathematics

Access to Document

10.37236/1706

Cite this

@article{d5f09869cdd14f54b43b9fcd1115b991,

title = "Finite Rogers-Ramanujan type identities",

abstract = " Polynomial generalizations of all 130 of the identities in Slater's list of identities of the Rogers-Ramanujan type are presented. Furthermore, duality relationships among many of the identities are derived. Some of the these polynomial identities were previously known but many are new. The author has implemented much of the finitization process in a Maple package which is available for free download from the author's website. ",

author = "Sills, \{Andrew V.\}",

year = "2003",

month = apr,

day = "23",

doi = "10.37236/1706",

language = "English",

volume = "10",

journal = "Electronic Journal of Combinatorics",

issn = "1077-8926",

publisher = "Electronic Journal of Combinatorics",

number = "1 R",

}

TY - JOUR

T1 - Finite Rogers-Ramanujan type identities

AU - Sills, Andrew V.

PY - 2003/4/23

Y1 - 2003/4/23

N2 - Polynomial generalizations of all 130 of the identities in Slater's list of identities of the Rogers-Ramanujan type are presented. Furthermore, duality relationships among many of the identities are derived. Some of the these polynomial identities were previously known but many are new. The author has implemented much of the finitization process in a Maple package which is available for free download from the author's website.

AB - Polynomial generalizations of all 130 of the identities in Slater's list of identities of the Rogers-Ramanujan type are presented. Furthermore, duality relationships among many of the identities are derived. Some of the these polynomial identities were previously known but many are new. The author has implemented much of the finitization process in a Maple package which is available for free download from the author's website.

UR - https://www.scopus.com/pages/publications/1942497395

U2 - 10.37236/1706

DO - 10.37236/1706

M3 - Article

SN - 1077-8926

VL - 10

JO - Electronic Journal of Combinatorics

JF - Electronic Journal of Combinatorics

IS - 1 R

ER -

Finite Rogers-Ramanujan type identities

Abstract

Scopus Subject Areas

Access to Document

Other files and links

Fingerprint

Cite this