Kyungpook Mathematical Journal

  • 제53권3호
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  • Pages.459-465
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  • 2013
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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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Differential Subordination Properties of Sokół-Stankiewicz Starlike Functions

  • Omar, Rashidah (Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Faculty of Computer and Mathematical Sciences, MARA University of Technology) ;
  • Halim, Suzeini Abdul (Institute of Mathematical Sciences, Faculty of Science, University of Malaya)
  • 투고 : 2011.08.02
  • 심사 : 2012.08.22
  • 발행 : 2013.09.23
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초록

Let $p(z)$ be an analytic function defined on the open unit disk D and $p(0)=1$. Condition ${\beta}$ in terms of complex numbers D and real E with -1 < E < 1 and ${\mid}D{\mid}{\leq}1$ is determined such that $1+{\beta}{\prec}\frac{1+Dz}{1+Ez}$ implies $p(z){\prec}\sqrt{1+z}$. Furthermore, the expression $1+\frac{{\beta}zp^{\prime}(z)}{p(z)}$ and $1+\frac{{\beta}zp^{\prime}(z)}{p^2(z)}$ are considered in obtaining similar results.

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참고문헌

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  7. J. Soko l, Radius problems in the class SL?, Applied Mathematics and Computation, 214(2009), 569-573. https://doi.org/10.1016/j.amc.2009.04.031
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피인용 문헌

  1. Subordinations for Functions with Positive Real Part 2017, https://doi.org/10.1007/s11785-017-0690-4
  2. Starlikeness of Functions Defined by Third-Order Differential Inequalities and Integral Operators vol.2014, 2014, https://doi.org/10.1155/2014/723097