Please use this identifier to cite or link to this item:

`http://hdl.handle.net/20.500.12188/1789`

Title: | Hankel determinant for a class of analytic functions |

Authors: | Milutin Obradovic Nikola Tuneski |

Keywords: | Mathematics - Complex Variables Mathematics - Complex Variables |

Issue Date: | 19-Mar-2019 |

Abstract: | Let $f$ be analutic in the unit disk $\mathbb D$ and normalized so that $f(z)=z+a_2z^2+a_3z^3+\cdots$. In this paper we give sharp bound of Hankel determinant of the second order for the class of analytic unctions satisfying \[ \left|\arg \left[\left(\frac{z}{f(z)}\right)^{1+\alpha}f'(z) \right] \right|<\gamma\frac{\pi}{2} \quad\quad (z\in\mathbb D),\] for $0<\alpha<1$ and $0<\gamma\leq1$. |

URI: | http://hdl.handle.net/20.500.12188/1789 |

Appears in Collections: | Faculty of Mechanical Engineering: Journal Articles |

Show full item record

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.