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Estimates of a spectrum of the integral means for lacunary series

Estimates of a spectrum of the integral means for lacunary series

Integral estimates for derivatives of univalent functions© 2014, Pleiades Publishing, Ltd. Brennan’s conjecture for a conformal mapping f of the unit disk

Lower estimate for the integral means spectrum for p = -1In this paper we show that there exists a function f bounded and univalent in the unit disk

On critical values of polynomials with real critical pointsLet f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f

Smales problem for critical points on certain two raysLet f be a polynomial of degree n ≥ 2 with f(0)= 0 and f′(0)= 1. We prove that there is a critical

On Brennan's conjecture for a special class of functionsIn this paper, we prove Brennan's conjecture for conformal mappings f of the disk {z : | z| < 1

Lower estimate for the integral means spectrum for p = -1In this paper we show that there exists a function f bounded and univalent in the unit disk

Integral estimates for derivatives of univalent functions© 2014, Pleiades Publishing, Ltd. Brennan’s conjecture for a conformal mapping f of the unit disk

On critical values of polynomials with real critical pointsLet f be a polynomial of degree at least 2 with f(0)=0 and f′(0)=1. Suppose that all the zeros of f

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