On a class of -starlike functions associated with some hyperbola.
Acu, Mugur (2005)
General Mathematics
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Acu, Mugur (2005)
General Mathematics
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Yang, Dinggong, Liu, Jinlin (1999)
International Journal of Mathematics and Mathematical Sciences
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Mamoru Nunokawa, Emel Yavuz, Shigeyoshi Owa (2013)
Annales UMCS, Mathematica
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Let Pn denote the class of analytic functions p(z) of the form p(z) = 1+cnzn + cn+1zn+1 + ... in the open unit disc U . Applying the result by S. S. Miller and P. T. Mocanu (J. Math. Anal. Appl. 65 (1978), 289-305), some interesting properties for p(z) concerned with Carath´eodory functions are discussed. Further, some corollaries of the results concerned with the result due to M. Obradović and S. Owa (Math. Nachr. 140 (1989), 97-102) are shown.
Oros, Georgia Irina (2008)
Acta Universitatis Apulensis. Mathematics - Informatics
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Acu, Mugur (2005)
General Mathematics
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Acu, Mugur (2004)
Georgian Mathematical Journal
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Acu, Mugur (2004)
General Mathematics
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Acu, Mugur, Eker, Sevtap Sumer (2009)
Acta Universitatis Apulensis. Mathematics - Informatics
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Holhoş, Viorel Cosmin (2004)
General Mathematics
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Oros, Georgia Irina (2002)
General Mathematics
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Goswami, Pranay, Bansal, Sanjay (2009)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Mamoru Nunokawa, Janusz Sokół (2013)
Annales UMCS, Mathematica
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In this work we consider the class of analytic functions G(α, γ), which is a subset of gamma-starlike functions introduced by Lewandowski, Miller and Złotkiewicz in Gamma starlike functions, Ann. Univ. Mariae Curie- Skłodowska, Sect. A 28 (1974), 53-58. We discuss the order of strongly starlikeness and the order of strongly convexity in this subclass.