Quasiconformal extendibility of integral transforms of Noshiro-Warschawski functions

Ikkei Hotta, Li-Mei Wang

Since the nonlinear integral transforms $J_{\alpha }[f](z)={\int }_0^z(f^{\prime }(u){)}^{\alpha }du$ and $I_{\alpha }[f](z)={\int }_0^z(f(u)/u{)}^{\alpha }du$ with a complex number $\alpha$ have been introduced, a great numbe…