Ramanujan's "Lost" Notebook VIII: The entire Rogers-Ramanujan function

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Abstract

In the Lost Notebook, Ramanujan presents a truly enigmatic infinite product expansion for the two variable Rogers-Ramanujan series. In this paper, we prove this formula by a careful analysis of the Stieltjes-Wigert polynomials.

Original languageEnglish (US)
Pages (from-to)393-407
Number of pages15
JournalAdvances in Mathematics
Volume191
Issue number2
DOIs
StatePublished - Mar 1 2005

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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