Univalence and starlikeness of nonlinear integral transform of certain class of analytic functions

摘要

Let U(λ, µ) denote the class of all normalized analytic functions f in the unit disk |z| < 1 satisfying the condition src="/content/t17p195355j51316/12044_2009_57_Article_Equ1.gif" alt="$$nfrac{{f(z)}}n{z} ne 0andleft| {f''(z)left( {frac{z}n{{f(z)}}} right)^{mu + 1} - 1} right| < lambda ,left| z right|