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Open AccessArticle

On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions

1
Department of Mathematics, College of Science, University of Baghdad, Baghdad 10071, Iraq
2
Department of Mathematics, College of Science, University of Sharjah, Sharjah, UAE
3
Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(5), 845; https://doi.org/10.3390/math8050845
Received: 31 March 2020 / Revised: 30 April 2020 / Accepted: 2 May 2020 / Published: 23 May 2020
(This article belongs to the Special Issue Geometrical Theory of Analytic Functions)
In the z- domain, differential subordination is a complex technique of geometric function theory based on the idea of differential inequality. It has formulas in terms of the first, second and third derivatives. In this study, we introduce some applications of the third-order differential subordination for a newly defined linear operator that includes ξ -Generalized-Hurwitz–Lerch Zeta functions (GHLZF). These outcomes are derived by investigating the appropriate classes of admissible functions. View Full-Text
Keywords: holomorphic function; univalent function; p-valent function; convolution product; ξ-Generalized Hurwitz–Lerch Zeta function; differential subordination; admissible functions holomorphic function; univalent function; p-valent function; convolution product; ξ-Generalized Hurwitz–Lerch Zeta function; differential subordination; admissible functions
MDPI and ACS Style

Al-Janaby, H.; Ghanim, F.; Darus, M. On The Third-Order Complex Differential Inequalities of ξ-Generalized-Hurwitz–Lerch Zeta Functions. Mathematics 2020, 8, 845.

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