Multiple series Rogers-Ramanujan type identities

Research output: Contribution to journalArticle

135 Citations (Scopus)

Abstract

It is shown how each of the classical identities of Rogers-Ramanujan type can be embedded in an infinite family of multiple series identities. The method of construction is applied to four of L. J. Rogers’ elegant series related to the quintuple product identity. Other applications are also presented.

Original languageEnglish (US)
Pages (from-to)267-283
Number of pages17
JournalPacific Journal of Mathematics
Volume114
Issue number2
DOIs
StatePublished - Jan 1 1984

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All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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title = "Multiple series Rogers-Ramanujan type identities",
abstract = "It is shown how each of the classical identities of Rogers-Ramanujan type can be embedded in an infinite family of multiple series identities. The method of construction is applied to four of L. J. Rogers’ elegant series related to the quintuple product identity. Other applications are also presented.",
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Multiple series Rogers-Ramanujan type identities. / Andrews, George E.

In: Pacific Journal of Mathematics, Vol. 114, No. 2, 01.01.1984, p. 267-283.

Research output: Contribution to journalArticle

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