## Taiwanese Journal of Mathematics

### ON SHARP INEQUALITIES OF HOMOGENEOUS EXPANSIONS FOR STARLIKE MAPPINGS OF ORDER $\alpha$ IN SEVERAL COMPLEX VARIABLES

#### Abstract

In this paper, we establish sharp inequalities of homogeneous expansions for starlike mappings and starlike mappings of order $\alpha$ defined on the unit ball of Banach complex spaces. As corollaries, we also obtain the sharp estimates of the third homogeneous expansions for the above mappings defined on the unit polydisk in $\mathbb{C}^n$ with some restricted conditions.

#### Article information

Source
Taiwanese J. Math., Volume 17, Number 3 (2013), 801-813.

Dates
First available in Project Euclid: 10 July 2017

https://projecteuclid.org/euclid.twjm/1499705984

Digital Object Identifier
doi:10.11650/tjm.17.2013.2415

Mathematical Reviews number (MathSciNet)
MR3072262

Zentralblatt MATH identifier
1280.32007

#### Citation

Liu, Xiaosong; Liu, Taishun; Xu, Qinghua. ON SHARP INEQUALITIES OF HOMOGENEOUS EXPANSIONS FOR STARLIKE MAPPINGS OF ORDER $\alpha$ IN SEVERAL COMPLEX VARIABLES. Taiwanese J. Math. 17 (2013), no. 3, 801--813. doi:10.11650/tjm.17.2013.2415. https://projecteuclid.org/euclid.twjm/1499705984

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