Change of base in Bailey pairs

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

Research output: Contribution to journalArticlepeer-review

35 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 languageEnglish (US)
Pages (from-to)435-453
Number of pages19
JournalRamanujan Journal
Volume4
Issue number4
DOIs
StatePublished - 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

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