## Abstract

Let F be the class of functions f(z) = z+ a_{2}z^{2}+ ⋯ which are analytic in D= { z: | z| < 1 } and satisfies the condition 1+1bzf′′(z)f′(z)=pt(z),(b≠0,b∈C,z∈D)where pt(z)=(t4+12)p1(z)-(t4-12)p2(z), t≥ 2 , p_{1}(z) , p_{2}(z) ∈ P. P is the class of analytic functions with the positive real part (Caratheodory class) then this function will be called convex function by means of bounded boundary rotation and denoted by K(t, b). In this present paper, we will introduce this class and its some properties.

Original language | English |
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Pages (from-to) | 433-439 |

Number of pages | 7 |

Journal | Mathematics in Computer Science |

Volume | 13 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1 Sept 2019 |

### Bibliographical note

Publisher Copyright:© 2019, Springer Nature Switzerland AG.

### Funding

The work presented here by first-named author is supported by Istanbul Technical University Scientific Research Project Coordination Unit. Project Number: TGA-2018-41339. The work presented here by first-named author is supported by Istanbul Technical University Scientific Research Project Coordination Unit. Project Number: TGA-2018-41339.

Funders | Funder number |
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Istanbul Technical University Scientific Research Project Coordination Unit | |

Istanbul Teknik Üniversitesi | TGA-2018-41339 |

## Keywords

- Analytic function
- Coefficient estimates
- Convex function
- Radius of starlikeness