An application of Miller and Mocanu's result.
Owa, Shigeyoshi, Wu, Zhworen (1990)
International Journal of Mathematics and Mathematical Sciences
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Owa, Shigeyoshi, Wu, Zhworen (1990)
International Journal of Mathematics and Mathematical Sciences
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Owa, Shigeyoshi, Obradović, Milutin (1986)
International Journal of Mathematics and Mathematical Sciences
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Obradović, Milutin (1997)
Matematichki Vesnik
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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).
Aghalary, Rasoul, Jahangiri, Jay M. (2003)
International Journal of Mathematics and Mathematical Sciences
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Polatoglu, Yaşar, Bolcal, Metinşen Arzu (2004)
International Journal of Mathematics and Mathematical Sciences
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Aouf, M.K. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Owa, Shigeyoshi, Nunokawa, Mamoru (1990)
International Journal of Mathematics and Mathematical Sciences
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Acu, Mugur (2004)
General Mathematics
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Owa, Shigeyoshi, Fukui, Seiichi, Sakaguchi, Koichi, Ogawa, Shotaro (1986)
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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Shanmugam, T.N., Jeyaraman, M.P. (2009)
International Journal of Mathematics and Mathematical Sciences
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Owa, Shigeyoshi (1986)
International Journal of Mathematics and Mathematical Sciences
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Ravichandran, V., Silverman, Herb, Kumar, S.Sivaprasad, Subramanian, K.G. (2004)
International Journal of Mathematics and Mathematical Sciences
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Ma, Wancang (1988)
International Journal of Mathematics and Mathematical Sciences
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