Abstract

Entire transcendental functions may exhibit what we call explosions in their Julia sets as a parameter is varied. An explosion is a sudden change from a nowhere dense Julia set to one which is the entire complex plane. We illustrate this phenomenon with an explosion in the complex exponential family, and we describe the mechanism which produces explosions via another example, the complex sine function.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call