Some Formatting Functions

We start by defining functions to format continued fractions. The function formatNonSimpleContinuedFraction formats a list of integers as a nonsimple continued fraction. To avoid autoevaluation of the result to a single rational number, we use HoldForm.

Here is an example.

We use formatNonSimpleContinuedFraction to define a similar function for simple continued fractions.

Here again is an example.

For a slightly less readable, but more space-conserving way to write such continued fractions, we define two more functions.