We prove two identities associated with Ramanujan's continued fraction of order 12. We further establish several Eisenstein series identities associated with Ramanujan's continued fraction of order 12.

We prove two identities for Ramanujan’s cubic continued fraction and a continued fraction of Ramanujan, which are analogues of Ramanujan’s identities for the Rogers-Ramanujan continued fraction. We further derive Eisenstein series identities associated with Ramanujan’s cubic continued fraction and Ramanujan’s continued fraction of order six.

In this paper, we derive new identities involving a continued fraction of Ramanujan of order twelve that are similar to those of the Ramanujan-Göllnitz-Gordon continued fraction.

In this paper, we introduce and study the concept of almost (i, j)-semi-I-continuous functions in ideal bitopological spaces.

In this paper, we introduce and study (i, j)-semi-I-R 0 and (i, j)-semi-I-R 1 spaces. Also we obtain several characterizations of this axioms.