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A sufficient condition for locally open polyanalytic functions
Linköping University, Department of Clinical and Experimental Medicine, Division of Surgery, Orthopedics and Oncology. Linköping University, Faculty of Medicine and Health Sciences.
2019 (English)In: Complex Variables and Elliptic Equations, ISSN 1747-6933, E-ISSN 1747-6941, Vol. 64, no 10, p. 1733-1738Article in journal (Refereed) Published
Abstract [en]

We prove that a q-analytic function with only isolated critical points is locally open. The converse of the main result is false in the sense that there are q-analytic functions that are locally open but have non-discrete critical sets.

Place, publisher, year, edition, pages
TAYLOR & FRANCIS LTD , 2019. Vol. 64, no 10, p. 1733-1738
Keywords [en]
Polyanalytic; q-analytic; open map
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:liu:diva-159227DOI: 10.1080/17476933.2018.1550081ISI: 000475442500007OAI: oai:DiVA.org:liu-159227DiVA, id: diva2:1341866
Available from: 2019-08-12 Created: 2019-08-12 Last updated: 2019-08-12

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Daghighi, Abtin
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Division of Surgery, Orthopedics and OncologyFaculty of Medicine and Health Sciences
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