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VARIATION OF FUNCTIONALS AND OF UNIVALENT FUNCTIONS OF CLASS S
THE COEFFICIENT REGION OF UNIVALENT FUNCTIONS
CONSTRUCTION OF THE VARIATION OF UNFVALENT FUNCTIONS AND OF FUNCTIONALS FOR ADMISSIBLE FUNCTIONS OF A GENE...
AN INVESTIGATION OF THE SECOND VARIATION OF LINEAR FUNCTIONALS
ON THE SMOOTHNESS OF THE BOUNDARY OF THE COEFFICIENT REGION
ON EXTREMAL FUNCTIONS WHICH SATISFY MORE THAN ONE DIFFERENTIAL EQUATION
ON EXTREMAL FUNCTIONS YIELDING A LOCAL EXTREMUM OF A LINEAR FUNCTIONAL
ON SUFFICIENT CONDITIONS FOR A LOCAL EXTREMUM AND ON THE KOEBE FUNCTION
ON A CONVEXITY PROPERTY OF THE COEFFICIENT REGION
absolute constant admissible functions analytic analytic continuation annulus Applying arbitrary arcs associated vector assume boundary bounded branch clear Clearly coefficients compact set complement conformal radius consider constant depending construction continuously differentiable convex corresponding deduce defined denote derivatives determined differential equation disc easily seen end points estimate exists extremum fact finite number formula grad grad^(y graph half plane Hence holds homeomorphism hyperplane implies inequality integral intersect Intv Koebe function Lemma level curve linear functional Lipschitz condition mapping measure v(dz metric multiplicity neighborhood nonterminal notation orthogonal polynomial power series Proposition 24.3 prove quadratic differential quadratic functional quantities Recalling remarks right-hand side satisfies a Lipschitz satisfies equation scalar product second variation segment sequence singular solution subset subspace sufficiently small Suppose tangent terminal vertex theorem trajectory tree univalent function vertices wj(x zero of Q(w