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The aim of this work is to show that the operator G, which has been introduced in Colombo et al. (Trans Am Math Soc 365:303–318, 2013) and whose kernel kerG… Click to show full abstract
The aim of this work is to show that the operator G, which has been introduced in Colombo et al. (Trans Am Math Soc 365:303–318, 2013) and whose kernel kerG coincides with the set of quaternionic slice regular functions, is a member of a family of operators with similar properties, such that all the members possess the respective versions of Stokes and Cauchy–type integral theorems. As direct consequences, these theorems are obtained for slice regular functions.
Keywords:
regular functions;
cauchy integral;
integral theorem;
quaternionic slice;
slice regular
Journal Title: Complex Analysis and Operator Theory
Year Published: 2019
Link to full text (if available)
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Journal Title: Complex Analysis and Operator Theory
Year Published: 2019
Link to full text (if available)
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recommendations!