An Estimate for Certain Meromorphic Univalent Functions

In this paper the coefficient problem for the family of univalent functions g(z) = z + ∑∞ n = 1bnz -nin$\{|z| > 1 \}$has been studied. The author obtained the sharp estimate b7≤ 1/4 + 3/280 when g(z) is an odd function and all its coefficients are real.

Saved in:
Bibliographic Details
Published in:Proceedings of the American Mathematical Society 1988-02, Vol.102 (2), p.278-282
Main Author: Xie, Mingqin
Format: Article
Language:English
Subjects:
Coefficients
Exact sciences and technology
Infinity
Mathematical functions
Mathematical inequalities
Mathematical theorems
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Sciences and techniques of general use
Trajectories
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper the coefficient problem for the family of univalent functions g(z) = z + ∑∞ n = 1bnz -nin$\{|z| > 1 \}$has been studied. The author obtained the sharp estimate b7≤ 1/4 + 3/280 when g(z) is an odd function and all its coefficients are real.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-1988-0920986-0