A continued fraction of order twelve
- 13 May 2008
- journal article
- Published by Walter de Gruyter GmbH in Central European Journal of Mathematics
- Vol. 6 (3), 393-404
- https://doi.org/10.2478/s11533-008-0031-y
Abstract
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.Keywords
This publication has 3 references indexed in Scilit:
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- Domains of validity for some of Ramanujan's continued fraction formulasJournal of Mathematical Analysis and Applications, 1989
- Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-seriesMemoirs of the American Mathematical Society, 1985