Some Subclasses of Uniformly Univalent Functions with Respect to Symmetric Points

Shahid Mahmood; Hari M. Srivastava; Sarfraz Nawaz Malik

doi:10.3390/sym11020287

,

and

¹

Department of Mechanical Engineering, Sarhad University of Science and I.T, Ring Road, Peshawar 25000, Pakistan

²

Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada

³

Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan

⁴

Department of Mathematics, COMSATS University Islamabad, Wah Campus 47040, Pakistan

Symmetry2019, 11(2), 287;https://doi.org/10.3390/sym11020287

This article belongs to the Special Issue Integral Transforms and Operational Calculus

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Abstract

This article presents the study of certain analytic functions defined by bounded radius rotations associated with conic domain. Many geometric properties like coefficient estimate, radii problems, arc length, integral representation, inclusion results and growth rate of coefficients of Taylor’s series representation are investigated. By varying the parameters in results, several well-known results in literature are obtained as special cases.

Keywords:

functions of bounded boundary and bounded radius rotations; subordination; functions with positive real part; uniformly starlike and convex functions

Some Subclasses of Uniformly Univalent Functions with Respect to Symmetric Points

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