## Abstract and Applied Analysis

### Argument Property for Certain Analytic Functions

#### Abstract

Let P be the class of functions p(z) of the form $p(z)=1+{\sum }_{n=1}^{\infty }{c}_{n}{z}^{n}$ which are analytic in the open unit disk $U=\{z:|z|<1\}$. The object of the present paper is to derive certain argument inequalities of analytic functions p(z) in P.

#### Article information

Source
Abstr. Appl. Anal. Volume 2012, Special Issue (2012), Article ID391038, 8 pages.

Dates
First available: 15 February 2012

http://projecteuclid.org/euclid.aaa/1329337685

Digital Object Identifier
doi:10.1155/2012/391038

Mathematical Reviews number (MathSciNet)
MR2861495

Zentralblatt MATH identifier
1229.30013

#### Citation

Yang, Qing; Liu, Jin-Lin. Argument Property for Certain Analytic Functions. Abstract and Applied Analysis 2012, Special Issue (2012), 1--8. doi:10.1155/2012/391038. http://projecteuclid.org/euclid.aaa/1329337685.

#### References

• J.-L. Liu, “The Noor integral and strongly starlike functions,” Journal of Mathematical Analysis and Appli-cations, vol. 261, no. 2, pp. 441–447, 2001.
• M. Nunokawa, “On the order of strongly starlikeness of strongly convex functions,” Proceedings of JapanAcademy. Series A, vol. 69, no. 7, pp. 234–237, 1993.
• M. Nunokawa, S. Owa, E. Y. Duman, and M. Aydoğan, “Some properties of analytic functions relating to the Miller and Mocanu result,” Computers & Mathematics with Applications, vol. 61, no. 5, pp. 1291–1295, 2011.
• N. Takahashi and M. Nunokawa, “A certain connection between starlike and convex functions,” Ap-plied Mathematics Letters, vol. 16, no. 5, pp. 653–655, 2003.
• N. Xu, D.-G. Yang, and S. Owa, “On strongly starlike multivalent functions of order $\beta$ and type $\alpha$,” Mathematische Nachrichten, vol. 283, no. 8, pp. 1207–1218, 2010.
• D.-G. Yang and J.-L. Liu, “Argument inequalities for certain analytic functions,” Mathematical and Com-puter Modelling, vol. 52, no. 9-10, pp. 1812–1821, 2010.