Starlikness Associated with Cosine Hyperbolic Function

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 p...

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Main Authors:	Abdullah Alotaibi, Muhammad Arif, Mohammed A. Alghamdi, Shehzad Hussain
Format:	Article
Language:	English
Published:	MDPI AG 2020-07-01
Series:	Mathematics
Subjects:	Janowski functions subordination cosine hyperbolic function
Online Access:	https://www.mdpi.com/2227-7390/8/7/1118

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spelling	doaj-1182849ae2e24836962bf30d53db87092020-11-25T03:47:21ZengMDPI AGMathematics2227-73902020-07-0181118111810.3390/math8071118Starlikness Associated with Cosine Hyperbolic FunctionAbdullah Alotaibi0Muhammad Arif1Mohammed A. Alghamdi2Shehzad Hussain3Operator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, KPK, PakistanOperator Theory and Applications Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Abdul Wali Khan University Mardan, Mardan 23200, KPK, PakistanThe 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.https://www.mdpi.com/2227-7390/8/7/1118Janowski functionssubordinationcosine hyperbolic function
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abdullah Alotaibi Muhammad Arif Mohammed A. Alghamdi Shehzad Hussain
spellingShingle	Abdullah Alotaibi Muhammad Arif Mohammed A. Alghamdi Shehzad Hussain Starlikness Associated with Cosine Hyperbolic Function Mathematics Janowski functions subordination cosine hyperbolic function
author_facet	Abdullah Alotaibi Muhammad Arif Mohammed A. Alghamdi Shehzad Hussain
author_sort	Abdullah Alotaibi
title	Starlikness Associated with Cosine Hyperbolic Function
title_short	Starlikness Associated with Cosine Hyperbolic Function
title_full	Starlikness Associated with Cosine Hyperbolic Function
title_fullStr	Starlikness Associated with Cosine Hyperbolic Function
title_full_unstemmed	Starlikness Associated with Cosine Hyperbolic Function
title_sort	starlikness associated with cosine hyperbolic function
publisher	MDPI AG
series	Mathematics
issn	2227-7390
publishDate	2020-07-01
description	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.
topic	Janowski functions subordination cosine hyperbolic function
url	https://www.mdpi.com/2227-7390/8/7/1118
work_keys_str_mv	AT abdullahalotaibi starliknessassociatedwithcosinehyperbolicfunction AT muhammadarif starliknessassociatedwithcosinehyperbolicfunction AT mohammedaalghamdi starliknessassociatedwithcosinehyperbolicfunction AT shehzadhussain starliknessassociatedwithcosinehyperbolicfunction
_version_	1724502365924491264

Starlikness Associated with Cosine Hyperbolic Function

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