The Power of q pp 149-155 | Cite as

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

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## 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.

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© Springer International Publishing AG 2017