An Extension Theorem for Bicomplex Functions

Chloe Makdad Butler University
Faculty Sponsor(s): William Johnston Butler University
A new root and ratio test for bicomplex power series produces the Bicomplex Extension Theorem, where any complex power series with positive radius of convergence R extends, via a simple change of the complex domain variable z to the bicomplex variable Z, to a bicomplex function analytic in a four real dimensional ball with the same positive radius R. In this way, any complex analytic function has a natural extension to a bicomplex analytic function.
Mathematics & Computer Science
Oral Presentation

When & Where

10:30 AM
Gallahue Hall 105