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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hiba Al-Janaby & Firas Ghanim & Maslina Darus, 2020. "On The Third-Order Complex Differential Inequalities of ξ -Generalized-Hurwitz–Lerch Zeta Functions," Mathematics, MDPI, vol. 8(5), pages 1-21, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:845-:d:361981
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    References listed on IDEAS

    as
    1. H. M. Srivastava & Sébastien Gaboury & Richard Tremblay, 2014. "New Relations Involving an Extended Multiparameter Hurwitz-Lerch Zeta Function with Applications," International Journal of Analysis, Hindawi, vol. 2014, pages 1-14, May.
    2. F. Ghanim, 2013. "A Study of a Certain Subclass of Hurwitz-Lerch-Zeta Function Related to a Linear Operator," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, September.
    3. Srivastava, H.M. & Gaboury, S. & Ghanim, F., 2015. "Some further properties of a linear operator associated with the λ-generalized Hurwitz–Lerch zeta function related to the class of meromorphically univalent functions," Applied Mathematics and Computation, Elsevier, vol. 259(C), pages 1019-1029.
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    Cited by:

    1. F. Ghanim & Hiba F. Al-Janaby & Marwan Al-Momani & Belal Batiha, 2022. "Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator," Mathematics, MDPI, vol. 10(18), pages 1-10, September.

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