Properties of Spiral-Like Close-to-Convex Functions Associated with Conic Domains

Hari M. Srivastava, Nazar Khan, Maslina Darus, Muhammad Tariq Rahim, Qazi Zahoor Ahmad and Yousra Zeb
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Hari M. Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Nazar Khan: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Maslina Darus: School of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia
Muhammad Tariq Rahim: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Qazi Zahoor Ahmad: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan
Yousra Zeb: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 22010, Pakistan

Mathematics, 2019, vol. 7, issue 8, 1-12

Abstract: In this paper, our aim is to define certain new classes of multivalently spiral-like, starlike, convex and the varied Mocanu-type functions, which are associated with conic domains. We investigate such interesting properties of each of these function classes, such as (for example) sufficiency criteria, inclusion results and integral-preserving properties.

Keywords: analytic functions; multivalent functions; starlike functions; close-to-convex functions; uniformly starlike functions; uniformly close-to-convex functions; conic domains (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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