Poles of regular quaternionic functions
نویسنده
چکیده
This paper studies the singularities of Cullen-regular functions of one quaternionic variable, as defined in [7]. The quaternionic Laurent series prove to be Cullen-regular. The singularities of Cullenregular 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 Cullenregular functions with respect to an appropriate division operation. This allows a detailed study of the poles and their distribution.
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