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TÜBİTAK

Turkish Journal of Mathematics

Journal

2020

Analytic functions

Articles 1 - 3 of 3

Full-Text Articles in Physical Sciences and Mathematics

Geometric Properties Of Partial Sums Of Generalized Koebe Function, Erhan Deni̇z, Erkan Yalçin Jan 2020

Geometric Properties Of Partial Sums Of Generalized Koebe Function, Erhan Deni̇z, Erkan Yalçin

Turkish Journal of Mathematics

The aim of the present paper is to investigate the starlikeness, convexity, and close-to-convexity of some partial sums of the generalized Koebe function. Furthermore, we give some special results related with special cases of $c$ constant. The results, which are presented in this paper, would generalize those in related works of several earlier authors.


The Fekete-Szegö Inequality For Subclasses Of Analytic Functions Related To Modified Sigmoid Functions, Muhammet Kamali̇, Hali̇t Orhan, Murat Çağlar Jan 2020

The Fekete-Szegö Inequality For Subclasses Of Analytic Functions Related To Modified Sigmoid Functions, Muhammet Kamali̇, Hali̇t Orhan, Murat Çağlar

Turkish Journal of Mathematics

In this paper, the authors investigate the initial coefficient bounds for a new generalized subclass of analytic functions related to Sigmoid functions. Also, the relevant connections with the famous classical Fekete?Szegö inequality for these classes are discussed.


Analytic Functions Associated With Cardioid Domain, Sarfraz Nawaz Malik, Mohsan Raza, Janusz Sokol, Saira Zainab Jan 2020

Analytic Functions Associated With Cardioid Domain, Sarfraz Nawaz Malik, Mohsan Raza, Janusz Sokol, Saira Zainab

Turkish Journal of Mathematics

In this article, we define and study new domain for analytic functions which is named as cardioid domain for being of cardioid structure. Analytic functions producing cardioid domain are defined and studied to some extent. The Fekete-Szegö inequality is also investigated for such analytic functions.