Estimation of the functional a_3-αa_2^2 in the class S of holomorphic and univalent functions for α complex

Szwankowaki, Andrzej

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Displaying similar documents to “Estimation of the functional a_3-αa_2^2 in the class S of holomorphic and univalent functions for α complex”

Addenda to my work: "Estimation of the functional |a_3 - aα_2^2| in the class S of holomorphic and univalent functions for α complex"

Szwankowski, Andrzej (2015-12-18T19:21:18Z)

Acta Universitatis Lodziensis. Folia Mathematica

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Some external problems in the class of holomorphic univalent functions

Siejka, Henryka (2015-12-13T10:57:27Z)

Acta Universitatis Lodziensis. Folia Mathematica

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Coefficients in some classes defined by subordination to multivalent majorants

Renata Jurasińska, Jan Stankiewicz (2003)

Annales Polonici Mathematici

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We present some results connected with estimation of the coefficients for some special class of functions holomorphic in the unit disc and defined by subordination to some multivalent functions.

Estimation of the functional A_2 • A_3 In the class of bounded symmetric univalent functions

Pietrasik, Longin (2015-11-28T13:31:35Z)

Acta Universitatis Lodziensis. Folia Mathematica

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On Some Correspondence between Holomorphic Functions in the Unit Disc and Holomorphic Functions in the Left Halfplane

Ewa Ligocka (2009)

Bulletin of the Polish Academy of Sciences. Mathematics

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We study a correspondence L between some classes of functions holomorphic in the unit disc and functions holomorphic in the left halfplane. This correspondence is such that for every f and w ∈ ℍ, exp(L(f)(w)) = f(expw). In particular, we prove that the famous class S of univalent functions on the unit disc is homeomorphic via L to the class S(ℍ) of all univalent functions g on ℍ for which g(w+2πi) = g(w) + 2πi and $l i m_{R e z \to - \infty} (g (w) - w) = 0$ .

Estimation of the sixth coefficient in the class of bounded univalent functions with real coefficients

A. Zielińska, K. Zyskowska (1983)

Annales Polonici Mathematici

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On estimating a fifth order functional for bounded univalent functions

Julian Ławrynowicz, Olli Tammi (1972)

Colloquium Mathematicae

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On the estimate of the fourth-order homogeneous coefficient functional for univalent functions

Larisa Gromova, Alexander Vasil'ev (1996)

Annales Polonici Mathematici

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The functional |c₄ + pc₂c₃ + qc³₂| is considered in the class of all univalent holomorphic functions $f (z) = z + \sum_{n = 2}^{\infty} c_{n} z^{n}$ in the unit disk. For real values p and q in some regions of the (p,q)-plane the estimates of this functional are obtained by the area method for univalent functions. Some new regions are found where the Koebe function is extremal.