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A continued fraction of order twelve. (English) Zbl 1176.33020

Summary: In this paper, we establish several explicit evaluations, reciprocity theorems and integral representations for a continued fraction of order twelve which are analogues to Rogers-Ramanujan’s continued fraction and Ramanujan’s cubic continued fraction.

MSC:

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

References:

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[5] Ramanujan S., Notebooks, Tata Institute of Fundamental Research, Bombay, 1957; · Zbl 0138.24201
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