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Now showing 1 - 6 of 6
  • PublicationEmbargo
    Close-to-convex functions defined by fractional operator
    (2013) Aydoğan, Seher Melike; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 35549; 8366; 199370
    Let S denote the class of functions f(z) = z + a2z2 + ... analytic and univalent in the open unit disc D = {z ∈ C
  • Publication
    On lambda-fractional convex functions
    (2007) Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202
  • PublicationEmbargo
    Two points-distortion theorems for multivalued starlike functions
    (2008) Owa, Shigeyoshi; Nakamura, Yayoi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 111202
    Let 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.
  • PublicationEmbargo
    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; 111202
    For 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
    Multivalued p-valent starlike functions
    (2007) Çağlar, M.; Şen, A.; Owa, Shigeyoshi; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370
  • PublicationEmbargo
    Multivalued starlike functions of complex order
    (2008) Çağlar, Mert; Owa, Shigeyoshi; Şen, Arzu; YAVUZ, EMEL; POLATOĞLU, YAŞAR; 199370; 108339; 111202
    Let 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