Kyungpook Mathematical Journal

  • 제54권4호
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  • Pages.531-543
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  • 2014
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Some Properties Subclasses of Analytic Functions

  • Frasin, Basem Aref (Faculty of Science, Department of Mathematics, Al al-Bayt University)
  • 투고 : 2011.10.13
  • 심사 : 2013.03.27
  • 발행 : 2014.12.23
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초록

The object of the present paper is to discuss some interesting properties of analytic functions f(z) associated with the subclasses $\mathcal{D}({\beta}_1,{\beta}_2,{\beta}_3;{\lambda})$, $\mathcal{G}({\theta},{\alpha})$ and $\mathcal{Q}({\theta},{\alpha})$. Also, radius problems of $\frac{1}{\delta}f({\delta}z)$ for f(z) in the class $\mathcal{D}({\beta}_1,{\beta}_2,{\beta}_3;{\lambda})$, $\mathcal{G}({\theta},{\alpha})$ and $\mathcal{Q}({\theta},{\alpha})$ are considered.

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참고문헌

  1. G. S. Salagean, Subclasses of univalent functions, Lecture Notes in Math. Springer-Verlag, 1013(1983), 362-372. https://doi.org/10.1007/BFb0066543
  2. Neslihan Uyanik and Shigeyoshi Owa, New extensions for classes of analytic functions associated with close-to-convex and starlike of order ${\alpha}$, Mathematical and Computer Modelling, 54(2011), 359-366. https://doi.org/10.1016/j.mcm.2011.02.020