Some generalizations on the univalence of an integral operator and quasiconformal extensions

Murat Çağlar, Halit Orhan
2013 Miskolc Mathematical Notes  
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.
doi:10.18514/mmn.2013.535 fatcat:ftvk3x2swvc3fjyg4gfb72upai