Person: POLATOĞLU, YAŞAR
Loading...
Email Address
Birth Date
Research Projects
Organizational Units
Job Title
Dr. Öğr. Üyesi
Last Name
POLATOĞLU
First Name
YAŞAR
Name
3 results
Search Results
Now showing 1 - 3 of 3
Publication Embargo Harmonic mappings for which second dilatation is Janowski functions(2013) Yavuz Duman, Emel; Kahramaner, Yasemin; Darus, Maslina; POLATOĞLU, YAŞAR; 111202; 199370; 8366In the present paper we extend the fundamental property that if h(z) and g(z) are regular functions in the open unit disc D with the properties h(0) = g(0) = 0, h maps D onto many-sheeted region which is starlike with respect to the origin, and Re g ′ (z) h′(z) > 0, then Re g(z) h(z) > 0, introduced by R.J. Libera [5] to the Janowski functions and give some applications of this to the harmonic functions.Publication Embargo Harmonic Function For Which The Second Dilatation is Alpha-Spiral(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch-6330, Switzerland, 2012) Duman Yavuz, Emel; Aydoğan, Melike; Kahramaner, Yasemin; POLATOĞLU, YAŞAR; 111202; 35549; 199370; 8366Let 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-spiralPublication Metadata only Quasiconformal Harmonic Mappings Related To Starlike Functions(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 2014-07) Yavuz Duman, Emel; Kahramaner, Yasemin; Aydoğan, Melike; POLATOĞLU, YAŞAR; 199370; 111202; 8366; 35549Let f = h(z) + <(g(z))over bar> be a univalent sense-preserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = vertical bar g'(z)/h'(z)vertical bar < k, (0 <= k < 1), then f is called k-quasiconformal harmonic mapping in D. The aim of this paper is to investigate a subclass of k-quasiconformal harmonic mappings.