Rogers-Ramanujan continued fraction

Recall that

in special form

But there is a problem for the first numerator when q is negative.

We then redefine

for q>=0

and

for q<0

In addition, we set

Then we have several known points for R(q). They are

　　　[ wrong ]

[ wrong ]

We also have many know points for S(q). Some of them are

We have many more for R⁵(q).