NEW SUFFICIENT CONDITIONS FOR STARLIKE AND CONVEX FUNCTIONS

Yıl 2014, Cilt: 4 Sayı: 1, 74 - 79, 01.06.2014

J. Nishiwaki S. Owa

Öz

Let A be the class of analytic functions f z in the open unit disc. Applying the subordination, some sufficient conditions for starlikeness and convexity are discussed.

Anahtar Kelimeler

Analytic function, Starlike of order α, Convex of order α, Subordination

Kaynakça

• Miller, S. S., Mocanu, P. T. and Reade, M. O., (1984), Subordination preserving integral operators, Trans. Amer. Math. Soc., 283, 605-615.
• Robertson, M. S., (1936), On the theory of univalent functions, Ann. of Math., 38, 374-408.
• Singh, V. and Tuneski, N., (2004), On a criteria for starlikeness and convexity of analytic functions, Acta Math. Sci., 24 (B4), 597-602.
• Tuneski, N., (2009), Some simple sufficient conditions for starlikeness and convexity, Appl. Math. Letters, 22, 693-697.