Some subclasses of close-to-convex mappings associated with conic regions

In this paper, we introduce and investigate several new subclasses of close-to-convex functions and their related mappings. Various interesting properties including sufficiency criteria, coefficient estimates, arc-length problem and radius of convexity are investigated.

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Bibliographic Details
Published in:Applied mathematics and computation 2016-07, Vol.285, p.94-102
Main Authors: Srivastava, H.M., Rafiullah Khan, Muhammad, Arif, Muhammad
Format: Article
Language:English
Subjects:
Analytic and univalent functions
Coefficient estimates and arc-length problem
Coefficients
Computation
Conic domain
Conics
Criteria
Estimates
Mapping
Mathematical analysis
Mathematical models
Principle of subordination
Radius of convexity
Uniformly close-to-convex functions
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Description
Summary:In this paper, we introduce and investigate several new subclasses of close-to-convex functions and their related mappings. Various interesting properties including sufficiency criteria, coefficient estimates, arc-length problem and radius of convexity are investigated.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2016.03.025