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

Yıl 2012, Cilt: 41 Sayı: 2, 271 - 275, 01.02.2012

Nikola Tuneski Maslina Darus

Öz

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

Anahtar Kelimeler

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

Öz

Kaynakça

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