Indigenous golden ratio transform

My earlier blog post was a golden ratio transform. But it was not fully indigenous.  It had an expression of e^m which was borrowed from foreigners.

As I had e^m indigenous expression,  I decided to make changes in the formula.

Now here is the golden ratio transform. 

It is indeed indigenous.  All the subset expression are mine and the golden ratio transform is indigenous. 

Thank you Wolfram alpha.  You have been wonderful ❤️!!