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On the series expansion of the Göllnitz-Gordon continued fraction. (English) Zbl 1140.11305

Summary: We give combinatorial interpretations of the coefficients in the series expansions of the Göllnitz-Gordon continued fraction and its reciprocal. These combinatorial results enable us to determine the signs of the coefficients. At the end, we also derive some interesting identities involving the coefficients.

MSC:

11B65 Binomial coefficients; factorials; \(q\)-identities
11A55 Continued fractions
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References:

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