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Mathematics 2019, 7(4), 309;

Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions

Department of Mechanical Engineering, Sarhad University of Science & I.T, Peshawar 25000, Pakistan
Department of Mathematics, Rzeszów University of Technology, Al. Powstańców, Warszawy 12, 35-959 Rzeszów, Poland
Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
Department of Mathematics, COMSATS University Islamabad, Wah Campus 47040, Pakistan
Author to whom correspondence should be addressed.
Received: 18 December 2018 / Revised: 21 March 2019 / Accepted: 22 March 2019 / Published: 27 March 2019
(This article belongs to the Special Issue Mathematical Analysis and Analytic Number Theory 2019)
PDF [247 KB, uploaded 27 March 2019]


The present paper comprises the study of certain functions which are analytic and defined in terms of reciprocal function. The reciprocal classes of close-to-convex functions and quasi-convex functions are defined and studied. Various interesting properties, such as sufficiency criteria, coefficient estimates, distortion results, and a few others, are investigated for these newly defined sub-classes. View Full-Text
Keywords: subordination; functions with positive real part; reciprocals subordination; functions with positive real part; reciprocals
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Mahmood, S.; Sokół, J.; Srivastava, H.M.; Malik, S.N. Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions. Mathematics 2019, 7, 309.

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