Univalence conditions of general integral operator
Univalence criteria.
Univalence criteria and surfaces in hyperbolic space.
Univalence criteria for classes of rectangles and equiangular hexagons.
Univalence criterion for an integral operator.
Univalence for convolutions.
Univalence of certain integral operators.
Univalence of certain integral opertors.
Univalence of certain linear operators defined by hypergeometric function.
Univalence of normalized solutions of W"(z)+p(z)W(z)=0.
Univalence of odd derivatives of even entire functions.
Univalence, strong starlikeness and integral transforms
Let represent the class of all normalized analytic functions f in the unit disc Δ. In the present work, we first obtain a necessary condition for convex functions in Δ. Conditions are established for a certain combination of functions to be starlike or convex in Δ. Also, using the Hadamard product as a tool, we obtain sufficient conditions for functions to be in the class of functions whose real part is positive. Moreover, we derive conditions on f and μ so that the non-linear integral transform...
Univalent functions and Dirichlet integral.
Univalent functions and the Schwarzian derivative.
Univalent functions defined by Ruscheweyh derivatives.
Univalent functions maximizing .
Univalent functions of given transfinite diameter: A maximum modulus problem.
Univalent functions with logarithmic restrictions
It is known that univalence property of regular functions is better understood in terms of some restrictions of logarithmic type. Such restrictions are connected with natural stratifications of the studied classes of univalent functions. The stratification of the basic class S of functions regular and univalent in the unit disk by the Grunsky operator norm as well as the more general one of the class 𝔐 * of pairs of univalent functions without common values by the τ-norm (this concept is introduced...
Univalent functions with range restrictions.
Univalent harmonic exterior mappings as solutions of an optimization problem