Two Modular Equationsfor Squares of the Cubic-functions with Applications

In this paper, we derive two modular identities for cubic functions and are shown to be connected to the Ramanujan cubic continued fraction G(q). Also we have derived many theta function identities which play an important role in proving Ramanujan’s modular equations of degree 3

On a continued fraction of order twelve

We present some new relations between a continued fraction U(q) of order 12 (established by M. S. M. Naika et al.) and U(q n) for n = 7, 9, 11, 13.Наведено деякі нові співвідношення між ланцюговим дробом U(q) дванадцятого порядку (який описано М. С. М. Найка та іншими авторами) і U(qn) для n=7,9,11та13