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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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