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.
The Mittag-Leffler Theorem for regular functions of a quaternionic variable / Gentili, Graziano; Sarfatti, Giulia. - In: NEW YORK JOURNAL OF MATHEMATICS. - ISSN 1076-9803. - ELETTRONICO. - 23:(2017), pp. 583-592.