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

Shahid Mahmood, Janusz Sokół, Hari Mohan Srivastava and Sarfraz Nawaz Malik
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Shahid Mahmood: Department of Mechanical Engineering, Sarhad University of Science & I.T, Peshawar 25000, Pakistan
Janusz Sokół: Department of Mathematics, Rzeszów University of Technology, Al. Powstańców, Warszawy 12, 35-959 Rzeszów, Poland
Hari Mohan Srivastava: Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
Sarfraz Nawaz Malik: Department of Mathematics, COMSATS University Islamabad, Wah Campus 47040, Pakistan

Mathematics, 2019, vol. 7, issue 4, 1-13

Abstract: 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.

Keywords: subordination; functions with positive real part; reciprocals (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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