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.
@article{bwmeta1.element.doi-10_2478_s11533-008-0031-y,
author = {M. Mahadeva Naika and B. Dharmendra and K. Shivashankara},
title = {A continued fraction of order twelve},
journal = {Open Mathematics},
volume = {6},
year = {2008},
pages = {393-404},
zbl = {1176.33020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0031-y}
}
M. Mahadeva Naika; B. Dharmendra; K. Shivashankara. A continued fraction of order twelve. Open Mathematics, Tome 6 (2008) pp. 393-404. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0031-y/
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