SUFFICIENT CONDITIONS FOR GENERALIZED SAKAGUCHI TYPE FUNCTIONS OF ORDER β

Yıl 2014, Cilt: 4 Sayı: 1, 127 - 131, 01.06.2014

A. Trilok Mathur Ruchi Mathur C. Deepa Sinha

Öz

In this paper, we obtain some sufficient conditions for generalized Sakaguchi type function of order β, defined on the open unit disk. Many interesting outcomes of our results are also calculated.

Anahtar Kelimeler

Generalized Sakaguchi type function of order β, Univalent functions

Kaynakça

• Cho, N. E., Kwon, O. S. and Owa, S., Certain Subclasses of Sakaguchi Functions., Southeast Asian Bull. Math., 17 (1993), 121-126.
• Frasin, B. A., Coefficient Inequalities for Certain Classes of Sakaguchi Type Functions, International J. Nonlinear Science, 10 (2010),(2), 206-211.
• Goyal, S. P. and Goswami, P., Certain Coefficient Inequalities for Sakaguchi Type Functions and Applications to Fractional Derivative Operator., Acta universitaties Apulenses , 19(3) (2011), 159- 166.
• Goyal, S. P., Vijayvargiya, P. and Goswami, P., Sufficient Conditions For Sakaguchi Type Functions of order β, European J. Pure Appl. Math. , 4 (2009), 230-236.
• Li, J. L. and Owa, S., Sufficient Conditions for Starlikeness, Indian J. Pure Appl. Math. ,33 (2002), 313-318.
• Mathur, T. and Mathur. R., Some Starlike and Convexity Properties of Sakaguchi Classes for Hyper- geometric Functions, Int. J. Open Problems in Complex Analysis , 4 (1)(2012).
• Mathur, T. and Mathur, R., Fekete- Szego Inequalities for Generalized Sakaguchi Type Functions, Proceeding of the World Congress on Engineering , 1(2012), 210-213.
• Miller, S. S. and Mocanu, P. T., Differential Subordinations and Inequalities in the Complex Plane, J. Differ. Equations , 167 (1987), 199-211.
• Owa, S., Sekine, T. and Yamakawa, R., On Sakaguchi Type Functions, Applied Mathematics and Computation, 187 (2007), 356-361.
• Owa, S., Sekine, T. and Yamakawa, R., Notes on Sakaguchi Functions, RIMS Kokyuroku , 1414 (2005), 76-82.
• Ravichandran, V., Selvaraj, C. and Rajalakshmi, R., Sufficient Conditions for Starlike Functions of Order α, J. Inequal. Pure Appl. Math. , 3 (5)(2002), 1-6.
• Sakaguchi, K., On a Certain Univalent Mapping, J. Math. Soc. Japan, 11 (1959), 72-75.