Some Conditions for Strongly Starlikeness of Certain Analytic Functions
نویسندگان
چکیده
For analytic functions f(z) in the open unit disk U with f(0) = 0 and f ′(0) = 1, S. S. Miller, P. T. Mocanu and M. O. Reade (Proc. Amer. Math. Soc. 37(1973)) have introduced α-convex functions in U with some condition, and Z. Lewandowski, S. S. Miller and E. Zl /otkiewicz (Ann. Univ. Marie-Curie Skl /odowska 27(1974)) have discussed γ-starlike functions in U with some condition. The object of the 1200 M. Nunokawa, S. Owa, T. Hayami, K. Kuroki and N. Uyanik present paper is to consider some sufficient conditions for strongly starlike of order β for f(z) ∈ A. Mathematics Subject Classification: Primary 30C45
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