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On some continued fraction expansions of the Rogers-Ramanujan type. (English) Zbl 1236.33030

Summary: By guessing the relative quantities and proving the recursive relation, we present some continued fraction expansions of the Rogers-Ramanujan type. Meanwhile, we also give some \(J\)-fraction expansions for the \(q\)-tangent and \(q\)-cotangent functions.

MSC:

33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\)
11A55 Continued fractions

Software:

RRtools; recpf
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Full Text: DOI

References:

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