Integral operators of certain univalent functions.
Integral operators on a certain class of univalent functions.
Integral operators on the TUCD-class.
Integral operators which preserve the subordination.
Integral properties of certain classes of analytic functions with negative coefficients.
Integral representations of bounded starlike functions
For α ≥ 0 let denote the class of functions defined for |z| < 1 by integrating if α > 0, and log(1/(1-xz)) if α = 0, against a complex measure on |x| = 1. We study families of starlike functions where zf’(z)/f(z) ranges over a parabola with given focus and vertex. We prove a number of properties of these functions, among others that they are bounded and that they belong to . In general, it is only known that bounded starlike functions belong to for α > 0.
Integral transforms of functions with restricted derivatives
We show that functions whose derivatives lie in a half-plane are preserved under the Pommerenke, Chandra-Singh, Libera, Alexander and Bernardi integral transforms. We determine precisely how these transforms act on such functions. We prove that if the derivative of a function lies in a convex region then the derivative of its Pommerenke, Chandra-Singh, Libera, Alexander and Bernardi transforms lie in a strictly smaller convex region which can be determined. We also consider iterates of these transforms....
Integralgleichungen erster Art und konformer Abbildung.
Internal properness and stability in linear systems
Inverse images of function sectors in the weighted Bergman space.
Invertible harmonic mappings beyond the Kneser theorem and quasiconformal harmonic mappings
We extend the Rado-Choquet-Kneser theorem to mappings with Lipschitz boundary data and essentially positive Jacobian at the boundary without restriction on the convexity of image domain. The proof is based on a recent extension of the Rado-Choquet-Kneser theorem by Alessandrini and Nesi and it uses an approximation scheme. Some applications to families of quasiconformal harmonic mappings between Jordan domains are given.
Irreducible polynomials with all but one zero close to the unit disk
We consider a certain class of polynomials whose zeros are, all with one exception, close to the closed unit disk. We demonstrate that the Mahler measure can be employed to prove irreducibility of these polynomials over ℚ.
Isometrische und Konforme Verheftung
Isomorphisms of the Disc Algebra and Iverse Faber Sets.
Isoperimetric inequalities for capacities in the plane.
Isoperimetric inequality for torsional rigidity in the complex plane.
Iterated Laguerre and Turán inequalities.
Itération des polynômes et propriétés d'orthogonalité
J. E. McMillan's Area theorem
Jensen's Inequality for Polynomials with Concentration at Low Degrees.