Journal
MONATSHEFTE FUR MATHEMATIK
Volume 188, Issue 2, Pages 247-267Publisher
SPRINGER WIEN
DOI: 10.1007/s00605-017-1138-7
Keywords
Analytic; Univalent; Harmonic functions; Starlike; Convex; Close-to-convex functions; Coefficient estimates; Convolution
Categories
Funding
- UGC
- NBHM
Ask authors/readers for more resources
Let H denote the class of harmonic functions f defined in D:={zC:|z|<1}, and normalized by f(0)=0=fz(0)-1. In this paper, for 0, we consider the subclass WH0() of H, defined by For fWH0(), we prove the Clunie-Sheil-Small coefficient conjecture, and give some growth, convolution, and convex combination theorems. We also determine the value of r so that the partial sums of functions in WH0() are close-to-convex in |z| < r.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available