Güney, Hatun ÖzlemBreaz, DanielOwa, Shigeyoshi2023-09-292023-09-292023Güney, H. Ö., Breaz, D. ve Owa, S. (2023). Some properties for subordinations of analytic functions. Axioms, 12(2), 1-16.2075-1680https://www.mdpi.com/2075-1680/12/2/131https://hdl.handle.net/11468/12626Let the class of functions of (Formula presented.) of the form (Formula presented.), which are denoted by (Formula presented.) and called analytic functions in the open-unit disk. There are many interesting properties of the functions (Formula presented.) in the class (Formula presented.) concerning the subordinations. Applying the three lemmas for (Formula presented.) provided by Miller and Mocanu and by Nunokawa, we consider many interesting properties of (Formula presented.) with subordinations. Furthermore, we provide simple examples for our results. We think it is very important to consider examples of the results.eninfo:eu-repo/semantics/openAccessAnalytic functionConvex function of order αDifferential subordinatonStarlike function of order αSubordinationArticle122116WOS:0009387989000012-s2.0-8514890634110.3390/axioms12020131Q3N/A