# A notation for continued fractions

http://www.math.illinois.edu/~berndt/gausslandenmonthly.pdf

On page 602 of this linked document (which is the 19th of 25 pages) there appears a notation for continued fractions which has been fairly conventional and found in many books and papers over quite a few decades:

The "+" sign is at an only slightly higher level than the denominators.

How can that be done in LaTeX?


Here is a solution:

\documentclass[a4paper, 11pt]{book}
\usepackage{fourier}
\usepackage{mathtools}
\newcommand\cplus{\mathbin{\raisebox{-\height}{$+$}}}
\newcommand\contdots{\raisebox{-\height}{$\vphantom{+}\dotsm$}}

\begin{document}

$\frac{a₀ }{b₀ } \cplus \frac{a₁ }{b₁}\cplus\frac{a₂ }{b₂ }\cplus\contdots\cplus\frac{a_n}{b_n} = S$%

\end{document}