%0 Journal Article
%T Poles of regular quaternionic functions
%A Caterina Stoppato
%J Mathematics
%D 2008
%I arXiv
%R 10.1080/17476930903275938
%X This paper studies the singularities of Cullen-regular functions of one quaternionic variable. The quaternionic Laurent series prove to be Cullen-regular. The singularities of Cullen-regular functions are thus classified as removable, essential or poles. The quaternionic analogues of meromorphic complex functions, called semiregular functions, turn out to be quotients of Cullen-regular functions with respect to an appropriate division operation. This allows a detailed study of the poles and their distribution.
%U http://arxiv.org/abs/0804.1665v1