complex analogues of the omega constant (newton’s method on f(z)=exp(z)+z)

The Omega constant is the unique real number such that e^{-\Omega} = \Omega. In the Newton’s method picture, cyan corresponds to where the Newton’s method iteration results in the Omega constant.

Advertisements

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s