On an estimate of some functional in the class of odd bounded univalent functions

Zyskowska, Krystyna

Displaying similar documents to “On an estimate of some functional in the class of odd bounded univalent functions”

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.

On a class of univalent functions defined by Sălăgean differential operator.

Tăut, Adela Olimpia, Oros, Georgia Irina, Şendruţiu, Roxana (2008)

Banach Journal of Mathematical Analysis [electronic only]

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On the use of the Grunsky-Nehari inequality for estimating the fourth coefficient of bounded univalent functions

O. Tammi (1967)

Colloquium Mathematicae

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Two-point distortion theorems for bounded univalent functions.

Ma, William, Minda, David (1997)

Annales Academiae Scientiarum Fennicae. Mathematica

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Bounded Montel univalent functions

Richard J. Libera, Eligiusz Złotkiewicz (1988)

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A note on the coefficients of univalent functions

J. T. Poole (1968)

Annales Polonici Mathematici

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On the coefficients of bounded real univalent functions

Józef Baranowicz (1976)

Annales Polonici Mathematici

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Some theorems on subordination by univalent functions

M. Obradović (1985)

Matematički Vesnik

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Remark on functions with all derivatives univalent.

Lachance, M. (1980)

International Journal of Mathematics and Mathematical Sciences

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Applications of the theory of differential subordination for functions with fixed initial coefficient to univalent functions

Sumit Nagpal, V. Ravichandran (2012)

Annales Polonici Mathematici

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By using the theory of first-order differential subordination for functions with fixed initial coefficient, several well-known results for subclasses of univalent functions are improved by restricting the functions to have fixed second coefficient. The influence of the second coefficient of univalent functions becomes evident in the results obtained.