A subclass of close-to-convex harmonic mappings
Sumit Nagpal, V. Ravichandran
TL;DR
This paper investigates a specific subclass of close-to-convex harmonic functions that are univalent and sense-preserving, providing key properties such as coefficient estimates, growth, and boundary behavior.
Contribution
It introduces and analyzes a new subclass of close-to-convex harmonic functions, detailing their coefficient bounds, growth, and convolution properties.
Findings
Derived coefficient estimates for the subclass
Established growth and boundary behavior results
Analyzed convolution and convex combination properties
Abstract
A subclass of complex-valued close-to-convex harmonic functions that are univalent and sense-preserving in the open unit disc is investigated. The coefficient estimates, growth results, area theorem, boundary behavior, convolution and convex combination properties for the above family of harmonic functions are obtained.
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Taxonomy
TopicsAnalytic and geometric function theory · Holomorphic and Operator Theory · Differential Equations and Boundary Problems