Eisenstein’s continued fraction

 

 

where we just show this but we have to verify it likeand.

 

      in special form

 

As m approaches infinity, it is going to converge to

 

in special form mentioned yesterday.

 

 

Recall that

 

 

in special form of continued fraction in 0412. That is derived from

 

 

in regular series. That is converted into continued fraction by the formula

 

   (regular expression)

   in special form

 

as in 0218 regarding

 

and

.

 

There is another relation.

 

in special form of continued fraction

 

Or

where