A. Trilok MATHUR, Ruchi MATHUR, C. Deepa SİNHA

SUFFICIENT CONDITIONS FOR GENERALIZED SAKAGUCHI TYPE FUNCTIONS OF ORDER β

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.

Keywords:

Generalized Sakaguchi type function of order β, Univalent functions,

PDF

___

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.