In this paper we give two integral representations for the Ramanujan's cubic continued fraction V (q) and also derive a modular equation relating V (q) and V (q 3). We also establish some modular equations and a transformation formula for Ra-manujan's theta-function. As an application of these, we compute several new explicit evaluations of theta-functions… (More)
In this paper we obtain a q-analogue of J. Sándor's theorems , on employing the q-analogue of Stirling's formula established by D. S. Moak .
In this paper, using the constrcutive skills of edge labeling function, we detremine the maximum edge-balance index and its edge-balance index sets of Cn x P3(n=0,1,2(mod6)).