Some Applications of a new class of Univalent Functions Defined by Subordination Property

Waggas Galib Atshan; Abdul Jalil M. Khalaf; Mohammed Maad Mahdi

doi:10.24297/jam.v9i3.2429

Some Applications of a new class of Univalent Functions Defined by Subordination Property

Authors

Waggas Galib Atshan College of Computer Science and Mathematics, University of Al-Qadisiya, Diwaniya
Abdul Jalil M. Khalaf Faculty of Mathematics and Computer Science University of Kufa Najaf - Kufa
Mohammed Maad Mahdi Faculty of Mathematics and Computer Science University of Kufa Najaf - Kufa

DOI:

https://doi.org/10.24297/jam.v9i3.2429

Keywords:

Univalent function, Subordination property, Hadamard product (or convolution), neighborhood, the growth and distortion inequalities, the convex linear combinations.

Abstract

In this paper, we introduce and study some applications of a new class of univalent functions defined by subordination property. Coefficient inequality, convex linear combinations, growth and distortion inequalities, radii of starlikeness, convexity and close-to- convexity and Hadamard product (or convolution) are given.

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Author Biographies

Waggas Galib Atshan, College of Computer Science and Mathematics, University of Al-Qadisiya, Diwaniya

Department of Mathematics

Abdul Jalil M. Khalaf, Faculty of Mathematics and Computer Science University of Kufa Najaf - Kufa

Department of Mathematics

Mohammed Maad Mahdi, Faculty of Mathematics and Computer Science University of Kufa Najaf - Kufa

Departmentof Mathematics

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Published

2014-08-11

How to Cite

Atshan, W. G., Khalaf, A. J. M., & Mahdi, M. M. (2014). Some Applications of a new class of Univalent Functions Defined by Subordination Property. JOURNAL OF ADVANCES IN MATHEMATICS, 9(3), 2021–2032. https://doi.org/10.24297/jam.v9i3.2429