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The Fekete-Szeg? Inequality for Strongly Quasi-Starlike Functions
Received:May 29, 1997
Revised:July 30, 1999
Key Words
:
quasi-convex function
strongly quasi-starlike function
close-to-convex function
Fekete-Szeg? inequality.
Fund Project
:
Author Name
Affiliation
LIU Ming-sheng
Dept. of Math.
,
South China Normal University
,
Guangzhou 510631
,
China
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:
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:
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Abstract
:
Let T(β) denote the class of strongly quasi-starlike functions of order β, and let f(z)=z+a
2
z
2
+a
3
z
3
+…∈T(β). In this paper, we obtained the sharp upper bounds of |a
3
-μa
2
2
| for any real parameter μ.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2000.04.023
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