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Open AccessArticle

Starlikness Associated with Cosine Hyperbolic Function

1
Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
2
Department of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, Pakistan
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(7), 1118; https://doi.org/10.3390/math8071118
Received: 3 June 2020 / Revised: 5 July 2020 / Accepted: 6 July 2020 / Published: 8 July 2020
(This article belongs to the Special Issue Geometrical Theory of Analytic Functions)
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. View Full-Text
Keywords: Janowski functions; subordination; cosine hyperbolic function Janowski functions; subordination; cosine hyperbolic function
MDPI and ACS Style

Alotaibi, A.; Arif, M.; Alghamdi, M.A.; Hussain, S. Starlikness Associated with Cosine Hyperbolic Function. Mathematics 2020, 8, 1118. https://doi.org/10.3390/math8071118

AMA Style

Alotaibi A, Arif M, Alghamdi MA, Hussain S. Starlikness Associated with Cosine Hyperbolic Function. Mathematics. 2020; 8(7):1118. https://doi.org/10.3390/math8071118

Chicago/Turabian Style

Alotaibi, Abdullah; Arif, Muhammad; Alghamdi, Mohammed A.; Hussain, Shehzad. 2020. "Starlikness Associated with Cosine Hyperbolic Function" Mathematics 8, no. 7: 1118. https://doi.org/10.3390/math8071118

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