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Publication Embargo Multivalued Sakaguchi functions(2007)Let A be the class of functions f(z) of the form f(z) = z +a2z2 + ··· which are analytic in the open unit disc U = {z ∈ C||z| < 1}. In 1959 [5], K. Sakaguchi has considered the subclass of A consisting of those f(z) which satisfy Re zf (z) f(z)−f(−z) > 0, where z ∈ U. We call such a functions “Sakaguchi Functions”. Various authors have investigated this class ([4], [5], [6]). Now we consider the class of functions of the form f(z) = zα(z +a2z2 +···+anzn +···) (0 <α< 1), that are analytic and multivalued in U, we denote the class of these functions by Aα, and we consider the subclass of Aα consisting of those f(z) which satisfy Re zDα z f(z) Dα z f(z)−Dα z f(−z) > 0 (z ∈ U), where Dα z f(z) is the fractional derivative of order α of f(z). We call such a functions “Multivalued Sakaguchi Functions” and denote the class of those functions by Sα s . The aim of this paper is to investigate some properties of the class Sα s . 2000 Mathematical Subject Classification: Primary 30C45.Publication Embargo Close-to-convex functions defined by fractional operator(2013) Aydoğan, Seher Melike; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 35549; 8366; 199370Let S denote the class of functions f(z) = z + a2z2 + ... analytic and univalent in the open unit disc D = {z ∈ CPublication Embargo Two points-distortion theorems for multivalued starlike functions(2008) Owa, Shigeyoshi; Nakamura, Yayoi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202Let A be the class of analytic functions f(z) in the open unit disc U with f(0) = 0 and f (0) = 1. Applying the fractional calculus for f(z) ∈ A, the fractional operator Dλf(z) is defined. Further, a new subclass S∗ λ of A is considered using the fractional operator Dλf(z). The object of the present paper is to consider some properties of f(z) in the class S∗ λ.Publication Embargo On Janowski starlike functions(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2007) Çağlar, Mert; Şen, A.; Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 108339; 199370; 111202For analytic functions f(z) in the open unit disc U with f(0) = 0 and f'(0) = 1, applying the fractional calculus for f(z), a new fractional operator D-lambda f(z) is introduced. Further, a new subclass F-lambda(*)(A, B) consisting of f(z) associated with Janowski function is defined. The objective of the present paper is to discuss some interesting properties of the class F-lambda(*)(A, B). Copyright (c) 2007.Publication Embargo Multivalued starlike functions of complex order(2008) Çağlar, Mert; Owa, Shigeyoshi; Şen, Arzu; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 108339; 111202Let 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: 30C45