A continued fraction of order twelve |
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| Authors: | M. S. Mahadeva Naika B. N. Dharmendra K. Shivashankara |
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| Affiliation: | (1) Department of Mathematics, Bangalore University, Central College Campus, Bangalore, 560 001, India;(2) Department of Mathematics, Yuvaraja’s College, University of Mysore, Mysore, 570 001, India |
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| 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. |
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| Keywords: | continued fraction modular equation reciprocity theorem |
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