Now showing items 1-7 of 7

    • Close-to-convex functions defined by fractional operator 

      Aydoğan, Seher Melike; Kahramaner, Yasemin; Polatoğlu, Yaşar (2013)
      Let S denote the class of functions f(z) = z + a2z2 + ... analytic and univalent in the open unit disc D = {z ∈ C||z| < 1}. Consider the subclass and S∗ of S, which are the classes of convex and starlike functions, ...
    • Multivalued p-valent starlike functions 

      Çağlar, M.; Polatoğlu, Yaşar; Şen, A.; Yavuz, Emel; Owa, Shigeyoshi (2007)
    • Multivalued Sakaguchi functions 

      Fen Edebiyat Fakültesi / Faculty of Letters and Sciences Matematik - Bilgisayar / Mathematics and Computer Science (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) ...
    • Multivalued starlike functions of complex order 

      Polatoğlu, Yaşar; Çağlar, Mert; Owa, Shigeyoshi; Yavuz, Emel; Şen, Arzu (2008)
      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 ...
    • On Janowski starlike functions 

      Çağlar, Mert; Polatoğlu, Yaşar; Şen, A.; Yavuz, Emel; Owa, Shigeyoshi (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2007)
      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) ...
    • On lambda-fractional convex functions 

      Polatoğlu, Yaşar; Yavuz, Emel; Owa, Shigeyoshi (2007)
    • Two points-distortion theorems for multivalued starlike functions 

      Polatoğlu, Yaşar; Yavuz, Emel; Owa, Shigeyoshi; Nakamura, Yayoi (2008)
      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 ...