On the coefficients of starlike functions of some classes
Zbigniew Jerzy Jakubowski (1972)
Annales Polonici Mathematici
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Zbigniew Jerzy Jakubowski (1972)
Annales Polonici Mathematici
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M. Obradović, S. Owa (1989)
Matematički Vesnik
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Sanford S. Miller (1976)
Annales Polonici Mathematici
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Milutin Obradović, M. K. Aouf, Shigeyoshi Owa (1989)
Publications de l'Institut Mathématique
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S. Owa, M. Obradović (1986)
Matematički Vesnik
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Romuald Zawadzki (1971)
Annales Polonici Mathematici
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Richard Fournier (1986)
Annales Polonici Mathematici
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Agnieszka Wiśniowska-Wajnryb (2013)
Annales Polonici Mathematici
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We geometrically define subclasses of starlike functions related to the class of uniformly starlike functions introduced by A. W. Goodman in 1991. We give an analytic characterization of these classes, some radius properties, and examples of functions in these classes. Our classes generalize the class of uniformly starlike functions, and many results of Goodman are special cases of our results.
Cz. Bucka, K. Ciozda (1973)
Annales Polonici Mathematici
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Krushkal, Samuel L. (1995)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Adam Lecko (1998)
Annales Polonici Mathematici
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We consider the class 𝓩(k;w), k ∈ [0,2], w ∈ ℂ, of plane domains Ω called k-starlike with respect to the point w. An analytic characterization of regular and univalent functions f such that f(U) is in 𝓩(k;w), where w ∈ f(U), is presented. In particular, for k = 0 we obtain the well known analytic condition for a function f to be starlike w.r.t. w, i.e. to be regular and univalent in U and have f(U) starlike w.r.t. w ∈ f(U).
Owa, Shigeyoshi, Nunokawa, Mamoru (1990)
International Journal of Mathematics and Mathematical Sciences
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Breaz, Daniel, Breaz, Nicoleta (2002)
Acta Universitatis Apulensis. Mathematics - Informatics
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