Fen Edebiyat Fakültesi / Faculty of Letters and Sciences Matematik - Bilgisayar / Mathematics and Computer ScienceÇağlar, MertOwa, ShigeyoshiŞen, ArzuYAVUZ, EMELPOLATOĞLU, YAŞAR2018-10-042018-10-0420081582-5329https://hdl.handle.net/11413/2800Let Aα be the class of functions f(z) = z α (z + a2z 2 + · · ·) which are analytic in the open unit disc U. For f(z) ∈ Aα using the fractional calculus, a subclass S ∗ α (1−b) which is the class of starlike functions of complex order (1−b) is introduced. The object of the present paper is to discuss some properties for f(z) belonging to the class S ∗ α (1 − b). 2000 Mathematics Subject Classification: 30C45en-USfractional calculusanalytic functionstarlike of complex ordersubordinationArticle