%0 Journal Article %1 gentili07 %A Gentili, Graziano %A Struppa, Daniele C. %D 2007 %J Advances in Mathematics %K quaternion %N 1 %P 279 -- 301 %R 10.1016/j.aim.2007.05.010 %T A New Theory of Regular Functions of a Quaternionic Variable %V 216 %X In this paper we develop the fundamental elements and results of a new theory of regular functions of one quaternionic variable. The theory we describe follows a classical idea of Cullen, but we use a more geometric formulation to show that it is possible to build a rather complete theory. Our theory allows us to extend some important results for polynomials in the quaternionic variable to the case of power series.

@article{gentili07, abstract = {In this paper we develop the fundamental elements and results of a new theory of regular functions of one quaternionic variable. The theory we describe follows a classical idea of Cullen, but we use a more geometric formulation to show that it is possible to build a rather complete theory. Our theory allows us to extend some important results for polynomials in the quaternionic variable to the case of power series. }, added-at = {2015-09-24T14:45:46.000+0200}, author = {Gentili, Graziano and Struppa, Daniele C.}, biburl = {https://www.bibsonomy.org/bibtex/214b860477d1c895fce7a9a172c09eb0c/ytyoun}, doi = {10.1016/j.aim.2007.05.010}, interhash = {40f92e9d41df93a9f468ae85f2969f17}, intrahash = {14b860477d1c895fce7a9a172c09eb0c}, issn = {0001-8708}, journal = {Advances in Mathematics }, keywords = {quaternion}, number = 1, pages = {279 -- 301}, timestamp = {2015-09-24T14:45:46.000+0200}, title = {A New Theory of Regular Functions of a Quaternionic Variable }, volume = 216, year = 2007 }