Certain identities for Ramanujan–Göllnitz–Gordon continued fraction

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摘要

In this paper, we present three new identities providing relations between Ramanujan–Göllnitz–Gordon continued fraction H(q) and the three continued fractions H(q5), H(q7) and H(q11). We also give a new approach for relations between H(q) and H(q3) which is due to Chan and Huang [Ramanujan J. 1 (1997) 75–90].

论文关键词：11A55,33D10,Continued fraction,Theta-function

论文评审过程：Received 23 August 2004, Revised 9 February 2005, Available online 27 April 2005.

论文官网地址：https://doi.org/10.1016/j.cam.2005.03.038