J. NİSHİWAKİ, S. OWA

NEW SUFFICIENT CONDITIONS FOR STARLIKE AND CONVEX FUNCTIONS

ISSN: 2146-1147
Başlangıç: 2010
Yayıncı: Turkic World Mathematical Society

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.

Keywords:

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

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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.