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

Hiba Al-Janaby, Firas Ghanim and Maslina Darus
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Hiba Al-Janaby: Department of Mathematics, College of Science, University of Baghdad, Baghdad 10071, Iraq
Firas Ghanim: Department of Mathematics, College of Science, University of Sharjah, Sharjah, UAE
Maslina Darus: Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia

Mathematics, 2020, vol. 8, issue 5, 1-21

Abstract: 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.

Keywords: holomorphic function; univalent function; p -valent function; convolution product; ? -Generalized Hurwitz–Lerch Zeta function; differential subordination; admissible functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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