On Certain Classes of Multivalent Analytic Functions Defined with Higher-Order Derivatives

Abdel Moneim Y. Lashin () and Fatma Z. El-Emam
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Abdel Moneim Y. Lashin: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Fatma Z. El-Emam: Department of basic sciences, Delta Higher Institute for Engineering and Technology, Mansoura 35681, Egypt

Mathematics, 2022, vol. 11, issue 1, 1-9

Abstract: This paper examines two subclasses of multivalent analytic functions defined with higher-order derivatives. These classes of functions are generalizations of several known subclasses that have been studied in separate works. Moreover, we find several interesting results for functions in these classes, including subordination results, containment relations, and integral preserving properties.

Keywords: higher-order derivatives; multivalent functions; ?-convex functions; ?-close to convex; n-symmetrical points (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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