On a Subclass of Close-to-Convex Functions Associated with Fixed Second Coefficient
Applied and Computational Mathematics
Volume 4, Issue 5, October 2015, Pages: 342-345
Received: Jul. 18, 2015; Accepted: Aug. 3, 2015; Published: Aug. 19, 2015
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Authors
Selvaraj Chellian, Department of Mathematics, Presidency College (Autonomous), Chennai, India
Stelin Simpson, Department of Mathematics, Tagore Engineering College, Vandalur, Chennai, India
Logu Sivalingam, Department of Mathematics, Presidency College (Autonomous), Chennai, India
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Abstract
We consider a subclass of univalent functions f (z) for which there corresponds a convex function g(z) of order α such that Re(zf'(z) / g(z)) ≥ β. We investigate the influence of the second coefficient of g(z) on this class. We also prove distortion, covering, and radius of convexity theorems
Keywords
Analytic Function, Univalent Function, Convex Function of Order α, Close-to-Convexity, Fixed Second Coefficient, Radius of Convexity
To cite this article
Selvaraj Chellian, Stelin Simpson, Logu Sivalingam, On a Subclass of Close-to-Convex Functions Associated with Fixed Second Coefficient, Applied and Computational Mathematics. Vol. 4, No. 5, 2015, pp. 342-345. doi: 10.11648/j.acm.20150405.12
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