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arxiv: 1711.05064 · v1 · pith:JI6ZIHLInew · submitted 2017-11-14 · 🧮 math.CV

The Mittag-Leffler Theorem for regular functions of a quaternionic variable

classification 🧮 math.CV
keywords functionsmittag-lefflerregulartheoremanalyticityappropriateclassicaldefinition
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We prove a version of the classical Mittag-Leffler Theorem for regular functions over quaternions. Our result relies upon an appropriate notion of principal part, that is inspired by the recent definition of spherical analyticity.

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