TY - JOUR
T1 - Relations between Ramanujan's cubic continued fraction and a continued fraction of order 12 and its evaluations
AU - Kumar, Belakavadi Radhakrishna Srivatsa
AU - Vidya, Harekala Chandrashekara
PY - 2018/1/1
Y1 - 2018/1/1
N2 - In the present paper, we establish relationship between continued fraction U(-q) of order 12 and Ramanujan's cubic continued fraction G(-q) and G(qn) for n = 1,2,3,5 and 7. Also we evaluate U(q) and U(-q) by using two parameters for Ramanujan's theta-functions and their explicit values.
AB - In the present paper, we establish relationship between continued fraction U(-q) of order 12 and Ramanujan's cubic continued fraction G(-q) and G(qn) for n = 1,2,3,5 and 7. Also we evaluate U(q) and U(-q) by using two parameters for Ramanujan's theta-functions and their explicit values.
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U2 - 10.5666/KMJ.2018.58.2.319
DO - 10.5666/KMJ.2018.58.2.319
M3 - Article
AN - SCOPUS:85049802022
SN - 1225-6951
VL - 58
SP - 319
EP - 332
JO - Kyungpook Mathematical Journal
JF - Kyungpook Mathematical Journal
IS - 2
ER -