An integral operator that maps a subclass of starlike functions into itself
F. Ahmad (1987)
Matematički Vesnik
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F. Ahmad (1987)
Matematički Vesnik
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Romuald Zawadzki (1971)
Annales Polonici Mathematici
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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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M. Obradović, S. Owa (1989)
Matematički Vesnik
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S. Owa, M. Obradović (1986)
Matematički Vesnik
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Polatog̃lu, Y. (2005)
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International Journal of Mathematics and Mathematical Sciences
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Acta Universitatis Apulensis. Mathematics - Informatics
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Owa, Shigeyoshi, Nunokawa, Mamoru (1990)
International Journal of Mathematics and Mathematical Sciences
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Richard Fournier (1986)
Annales Polonici Mathematici
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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, Fukui, Seiichi (1994)
International Journal of Mathematics and Mathematical Sciences
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Ryszard Mazur (1983)
Annales Polonici Mathematici
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