Conversion from special function to continued fraction

 

The error function is defined as

 

 

That is expanded into the following series

 

 

The second kind can be converted into continued fraction by the formula

 

  (regular expression)

   in special form

 

in special form

 

 

 

The Riemann Zeta function is defined as

 

    for x>1

 

We use the following formula

 

   (regular expression)

   in special form as in 0216.

 

That is

 

  in special form