The Mittag-Leffler Theorem for regular functions of a quaternionic variable

Abstract

We prove a version of the classical Mittag-Leffler Theorem for regular functions over quaternions. Our result relies upon an appropriate notion of principal part, that is inspired by the recent definition of spherical analyticity.

arXiv comment10 pages

References in corpus (4)

• Power series and analyticity over the quaternions
• Twistor transforms of quaternionic functions and orthogonal complex structures
• A new series expansion for slice regular functions
• Singularities of slice regular functions over real alternative *-algebras