Now showing items 1-6 of 6

    • An investigation on a new class of harmonic mappings 

      Yavuz Duman, Emel; Polatoğlu, Yaşar; Kahramaner, Yasemin (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2013)
      In the present paper, we give an extension of the idea which was introduced by Sakaguchi (J. Math. Soc. Jpn. 11:72-75, 1959), and we give some applications of this extended idea for the investigation of the class of harmonic ...
    • Harmonic Function For Which The Second Dilatation is Alpha-Spiral 

      Duman Yavuz, Emel; Aydoğan, Melike; Polatoğlu, Yaşar; Kahramaner, Yasemin (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012)
      Let f = h + (g) over bar be a harmonic function in the unit disc . We will give some properties of f under the condition the second dilatation is alpha-spiral
    • Harmonic mappings for which co-analytic part is a close-to-convex function of order b 

      Yaşar Polatoğlu, Yaşar; Kahramaner, Yasemin; Aydoğan, Seher Melike (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2015-01-16)
      In the present paper we investigate a class of harmonic mappings for which the second dilatation is a close-to-convex function of complex order b, b is an element of C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, ...
    • 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) ...
    • Reciprocal Classes Of P-Valently Spirallike And P-Valently Robertson Functions 

      Polatoğlu, Yaşar; Uyanık, Neslihan; Owa, Shigeyoshi; Shiraishi, Hitoshi (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2011)
      For p-valently spirallike and p-valently Robertson functions in the open unit disk U, reciprocal classes S-p(alpha, beta), and C-p(alpha, beta) are introduced. The object of the present paper is to discuss some interesting ...
    • Some properties of starlike harmonic mappings 

      Aydoğan, Seher Melike; Yemişçi, Halime Arzu; Polatoğlu, Yaşar (Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012)
      A fundamental result of this paper shows that the transformation F=az(h(z+a/1+(a) over barz) + /(h(a) + <(g(a))over bar>(z + a) (1 + (a) over barz) defines a function in S0 HS* whenever f = h( z) + g( z) is S0 HS*, ...