Change of base in Bailey pairs

D. Bressoud; M. E.H. Ismail; D. Stanton

doi:10.1023/A:1009824218230

Change of base in Bailey pairs

D. Bressoud
, M. E.H. Ismail
, D. Stanton

School of Mathematics

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

59 Scopus citations

Abstract

Versions of Bailey's lemma which change the base from q to q² or q³ are given. Iterates of these versions give many new versions of multisum Rogers-Ramanujan identities.

Original language	English (US)
Pages (from-to)	435-453
Number of pages	19
Journal	Ramanujan Journal
Volume	4
Issue number	4
DOIs	https://doi.org/10.1023/A:1009824218230
State	Published - Dec 2000

Bibliographical note

Funding Information:
⁄Supported by NSF grant DMS 99-70865. †Supported by NSF grant DMS 99-70627.

Keywords

Bailey lemma
Bailey pairs
Rogers-Ramanujan identities
Virasoro characters

Publisher link

10.1023/A:1009824218230

Find It

Find It at U of M Libraries

Cite this

@article{a8c3e7043f2a4a2b8b9f951174a1fd9d,

title = "Change of base in Bailey pairs",

abstract = "Versions of Bailey's lemma which change the base from q to q2 or q3 are given. Iterates of these versions give many new versions of multisum Rogers-Ramanujan identities.",

keywords = "Bailey lemma, Bailey pairs, Rogers-Ramanujan identities, Virasoro characters",

author = "D. Bressoud and Ismail, \{M. E.H.\} and D. Stanton",

note = "Funding Information: ⁄Supported by NSF grant DMS 99-70865. †Supported by NSF grant DMS 99-70627.",

year = "2000",

month = dec,

doi = "10.1023/A:1009824218230",

language = "English (US)",

volume = "4",

pages = "435--453",

journal = "Ramanujan Journal",

issn = "1382-4090",

publisher = "Springer Netherlands",

number = "4",

}

TY - JOUR

T1 - Change of base in Bailey pairs

AU - Bressoud, D.

AU - Ismail, M. E.H.

AU - Stanton, D.

N1 - Funding Information: ⁄Supported by NSF grant DMS 99-70865. †Supported by NSF grant DMS 99-70627.

PY - 2000/12

Y1 - 2000/12

N2 - Versions of Bailey's lemma which change the base from q to q2 or q3 are given. Iterates of these versions give many new versions of multisum Rogers-Ramanujan identities.

AB - Versions of Bailey's lemma which change the base from q to q2 or q3 are given. Iterates of these versions give many new versions of multisum Rogers-Ramanujan identities.

KW - Bailey lemma

KW - Bailey pairs

KW - Rogers-Ramanujan identities

KW - Virasoro characters

UR - https://www.scopus.com/pages/publications/0034345633

UR - https://www.scopus.com/pages/publications/0034345633#tab=citedBy

U2 - 10.1023/A:1009824218230

DO - 10.1023/A:1009824218230

M3 - Article

AN - SCOPUS:0034345633

SN - 1382-4090

VL - 4

SP - 435

EP - 453

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 4

ER -

Change of base in Bailey pairs

Abstract

Bibliographical note

Keywords

Publisher link

Find It

Other files and links

Fingerprint

Cite this