Starlikness Associated with Cosine Hyperbolic Function

Abdullah Alotaibi, Muhammad Arif, Mohammed A. Alghamdi and Shehzad Hussain
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Abdullah Alotaibi: Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Muhammad Arif: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
Mohammed A. Alghamdi: Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Shehzad Hussain: Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan

Mathematics, 2020, vol. 8, issue 7, 1-16

Abstract: The main contribution of this article is to define a family of starlike functions associated with a cosine hyperbolic function. We investigate convolution conditions, integral preserving properties, and coefficient sufficiency criteria for this family. We also study the differential subordinations problems which relate the Janowski and cosine hyperbolic functions. Furthermore, we use these results to obtain sufficient conditions for starlike functions connected with cosine hyperbolic function.

Keywords: Janowski functions; subordination; cosine hyperbolic function (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 (6)

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