Global differential equations for slice regular functions
Copyright policy )Global differential equations for slice regular functions
In the present paper, we give a system of global differential equations which are satisfied by slice regular functions on a real alternative algebra. By means of the concepts of stem function and slice function, we are able to improve some results obtained recently in the quaternionic and slice monogenic case and to extend them to this general setting. In particular, we describe the precise relation existing between the global differential equations and the condition of slice regularity.
- University of Trento Italy
slice regular functions, Functions of hypercomplex variables and generalized variables, global differential operators, functions of a hypercomplex variable, Functions of a hypercomplex variable
slice regular functions, Functions of hypercomplex variables and generalized variables, global differential operators, functions of a hypercomplex variable, Functions of a hypercomplex variable
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