English

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

Complex Variables 2017-11-15 v1

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.

Keywords

Cite

@article{arxiv.1711.05064,
  title  = {The Mittag-Leffler Theorem for regular functions of a quaternionic variable},
  author = {Graziano Gentili and Giulia Sarfatti},
  journal= {arXiv preprint arXiv:1711.05064},
  year   = {2017}
}

Comments

10 pages

R2 v1 2026-06-22T22:45:27.332Z