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On the Ramanujan-Göllnitz-Gordon continued fraction. (English) Zbl 0905.11008
Let \(H(q)\) be the Ramanujan-Göllnitz-Gordon continued fraction. The authors establish some identities satisfied by \(H(q)\), which yield relations between \(H(q)\), \(H(-q)\), and \(H(q^2)\), and also between \(H(q)\) and \(H(q^n)\). In addition, they obtain explicit formulas for \(H(e^{-\pi \sqrt n})\) and \(H(e^{-\pi \sqrt n/2})\). They show that the latter is always a unit.

MSC:
11A55 Continued fractions
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