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

VL - 58

SP - 319

EP - 332

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

SN - 1225-6951

IS - 2

ER -