Abstract
We give coefficient estimates for a class of close-to-convex harmonic mappings (Formula presented.) , and discuss the Fekete–Szegő problem of it. We also determine a disk (Formula presented.) in which the partial sum (Formula presented.) is close-to-convex for each (Formula presented.). Then, we introduce two classes of polyharmonic mappings (Formula presented.) and (Formula presented.) , consider the starlikeness and convexity of them and obtain coefficient estimates for them. Finally, we give a necessary condition for a mapping (Formula presented.) to be in the class (Formula presented.).
Original language | English |
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Pages (from-to) | 354-371 |
Number of pages | 18 |
Journal | Complex Variables and Elliptic Equations |
Volume | 60 |
Issue number | 3 |
DOIs | |
State | Published - 4 Mar 2015 |
Externally published | Yes |
Keywords
- close-to-convex
- coefficient estimates
- convex
- harmonic mapping
- partial sum
- polyharmonic mapping
- starlike
- the Fekete–Szegő problem