On the alder polynomials and a new generalization of the rogers-ramanujan identities

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Abstract

In 1954, H. L. Alder obtained certain analytic generalizations of the Rogers-Ramanujan identities that involved a sequence of polynomials subsequently named the Alder polynomials. The object here is to obtain a new representation of the Alder polynomials from which a new generalization of the Rogers-Ramanujan identities is easily deduced.

Original languageEnglish (US)
Pages (from-to)40-64
Number of pages25
JournalTransactions of the American Mathematical Society
Volume204
DOIs
StatePublished - Jan 1 1975

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Rogers-Ramanujan Identities
Polynomials
Polynomial
Generalization

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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title = "On the alder polynomials and a new generalization of the rogers-ramanujan identities",
abstract = "In 1954, H. L. Alder obtained certain analytic generalizations of the Rogers-Ramanujan identities that involved a sequence of polynomials subsequently named the Alder polynomials. The object here is to obtain a new representation of the Alder polynomials from which a new generalization of the Rogers-Ramanujan identities is easily deduced.",
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AB - In 1954, H. L. Alder obtained certain analytic generalizations of the Rogers-Ramanujan identities that involved a sequence of polynomials subsequently named the Alder polynomials. The object here is to obtain a new representation of the Alder polynomials from which a new generalization of the Rogers-Ramanujan identities is easily deduced.

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