ISSN:2164-6376 (print)
ISSN:2164-6414 (online)
Discontinuity, Nonlinearity, and Complexity

Dimitry Volchenkov (editor), Dumitru Baleanu (editor)

Dimitry Volchenkov(editor)

Mathematics & Statistics, Texas Tech University, 1108 Memorial Circle, Lubbock, TX 79409, USA

Email: dr.volchenkov@gmail.com

Dumitru Baleanu (editor)

Cankaya University, Ankara, Turkey; Institute of Space Sciences, Magurele-Bucharest, Romania

Third Hankel Determinant for Certain Class of Bazilevi'{c} Functions Associated with Linear Differential Operator

Discontinuity, Nonlinearity, and Complexity 10(2) (2021) 323--331 | DOI:10.5890/DNC.2021.06.011

Saba N. Al-khafaji , Ahmed Hadi Hussain, Sameer Annon Abbas

Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa-Iraq

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Abstract

The main object of this paper is to introduce a new class of Bazilevi\'{c} functions $\Omega^n_\alpha(m, \delta)$ in the open unit disk $\mathbb{D}$ associated with linear differential operator. In addition to, we obtained the coefficient estimates as well as best possible upper bound to the third Hankel determinant for the functions belong to this class.

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