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The Power of q pp 149-155 | Cite as

The Series Expansion of the Rogers–Ramanujan Continued Fraction and Its Reciprocal

  • Michael D. HirschhornEmail author
Chapter
Part of the Developments in Mathematics book series (DEVM, volume 49)

Abstract

George Szekeres discovered that in the expansions of the Rogers–Ramanujan continued fraction or its reciprocal as series, the sign of the coefficients is periodic with period 5. The quintuple product identity is used to prove these observations.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsUniversity of New South WalesSydneyAustralia

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