ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS

Abstract

In this paper sufficient conditions for a function to be Janowski starlike with respect to N-symmetric points are given in terms of the quotient of analytical representations of starlikeness and convexity with respect to N-symmetric points

Keywords

• Analytic function,Janowski starlike,N-symmetric points,Sufficient condition,2000 AMS Classification: 30 C 45

ON FUNCTIONS THAT ARE JANOWSKI STARLIKE WITH RESPECT TO N-SYMMETRIC POINTS

Abstract

References

1. Janowski, W. Some extremal problems for certain families of analytic functions, I. Ann. Polon. Math. 28, 297–326, 1973.
2. Miller, S. S. and Mocanu, P. T. Differential Subordinations. Theory and Applications (Mar- cel Dekker, New York, Basel, 2000).
3. Obradovi´c, M. and Tuneski, N. On the starlike criteria defined by Silverman, Zeszyty Nauk. Politech. Rzeszowskiej Mat. 24 (181), 59–64, 2000.
4. Sakaguchi, K. On a certain univalent mapping, J. Math. Soc. Japan 11, 72–75, 1959.
5. Silverman, H. Convex and starlike criteria, Int. J. Math. Math. Sci. 22 (1), 75–79, 1999.
6. Singh, V. and Tuneski, N. On a criteria for starlikeness and convexity of analytic functions, Acta Math. Sci. 24 (B4), 597–602, 2004.
7. Tuneski, N. On a Criteria for starlikeness of analytic functions, Integral Transform. Spec. Funct. 14 (3), 263–270, 2003.
8. Tuneski, N. On the quotient of the representations of convexity and starlikeness, Math. Nach. 248-249, 200–203, 2003.

9. Tuneski, N. and Irmak, H. Starlikeness and convexity of a class of analytic functions, In- ternat. J. Math. Math. Sci. 2006, Art. ID 38089, 8 pp, 2006.