### Abstract

Let A be the class of all analytic functions in the unit disk U such that f(0) = f'(0) – 1 = 0. A function f G A is called starlike with respect to 2n symmetric-conjugate points if Re zf'(z)/f_{n}(z) > 0 for 2 ∊ U where [formula omitted] ω — exp(2πi/n]. This class is denoted by S_{n}* and was studied in [1]. A sufficient condition for starlikeness with respect to symmetric-conjugate points is obtained. In addition, images of some subclasses of S_{n}* under the integral operator I : A→A, I(f) = F where [formula omitted] and (g ∊ A is given are determined.

Original language | English (US) |
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Pages (from-to) | 469-474 |

Number of pages | 6 |

Journal | International Journal of Mathematics and Mathematical Sciences |

Volume | 18 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 1995 |

Externally published | Yes |

### Keywords

- differential subordinations
- integral operator
- starlike
- strongly starlike
- symmetric-conjugate points
- α-convex

### ASJC Scopus subject areas

- Mathematics (miscellaneous)

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## Cite this

Al-Amiri, H., Coman, D., & Mocanu, P. T. (1995). Some Properties of Starlike Functions with Respect to Symmetric-Conjugate Points.

*International Journal of Mathematics and Mathematical Sciences*,*18*(3), 469-474. https://doi.org/10.1155/S0161171295000597