Some generalizations on the univalence of an integral operator and   quasiconformal extensions
  By using the method of Loewner chains, we establish some sufficient conditions for the analyticity and univalency of functions defined by an integral operator. Also, we refine the result to a quasiconformal extension criterion with the help of Beckers's method. 
Murat \c{C}a\u{g}lar and Halit Orhan
math.CV