On the geometrical properties of some classes of complex harmonic functions defined by analytic or coefficient conditions with complex parameter

• Autorzy: Sibelska A.

Identyfikatory

DOI

10.1515/jaa-2014-0007

• Języki publikacji: EN

Abstrakty

EN

In the paper there are determined, for some classes defined by coefficient or analytic conditions, the sets of complex parameter γ, for which all the functions of the appropriate family have some geometrical properties. There are also provided the examples of the mappings showing that some inclusions between classes are impossible or confirming that sets of the parameter γ cannot be extended in some cases without loss of these geometric properties.

Słowa kluczowe

EN

complex harmonic functions; analytic conditions; coefficient conditions; univalence; convexity; starlikeness

PL

złożone funkcje harmoniczne; warunki analityczne; warunki współczynnikowe; jednowartościowość; wypukłość; gwiaździstość

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2014
• Tom: Vol. 20, nr 1
• Strony: 77--85
• Opis fizyczny: Bibliogr. 11 poz.

Twórcy

autor

Sibelska A.

• Faculty of Mathematics and Computer Science, University of Łódź, ul. S. Banacha 22, 90-238 Łódź, Poland

Bibliografia

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