Hello everyboby.

I am very new here, so please excuse me, if I'm doing something wrong. But I need your help anyway.

There is a dissertation:

http://etd.library.pitt.edu/ETD/avai...uo_etd2002.pdf

The author has following equation there (page 41):

from which he derives the next equation with the aid of the "continued fraction expansion" (on the same page):

He mentions, that he used a MATLAB program for that, but he doesn't describe it anywhere in detail.

I tried to obtain the same result in MATLAB and in Mathcad, but it looks completely different:

The reason is, that MATLAB and Mathcad have a built-in fuction, which realizes the continued fraction expansion in another form.

But I need exactly the same form as the author has in his dissertation!

Could you help me please to get it?

P.S. I must tell you, that my knowledge in this part of the mathematics is not very big. So could you please provide me just a "ready-to-use" formula for the required expansion?