On the coefficients of univalent polynomials
Z. Charzyński, J. Ławrynowicz (1967)
Colloquium Mathematicae
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Z. Charzyński, J. Ławrynowicz (1967)
Colloquium Mathematicae
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Julian Ławrynowicz, Olli Tammi (1972)
Colloquium Mathematicae
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Haakon Waadeland (1980)
Annales Polonici Mathematici
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Abstract. Let S denote the family of functions f, holomorphic and univalent in the open unit disk U, and normalized by f(0) = 0, f'(0) = 1.
Zyskowska, Krystyna (2015-12-08T12:39:07Z)
Acta Universitatis Lodziensis. Folia Mathematica
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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 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.
Tăut, Adela Olimpia, Oros, Georgia Irina, Şendruţiu, Roxana (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Richard J. Libera, Eligiusz Złotkiewicz (1988)
Colloquium Mathematicae
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Ma, William, Minda, David (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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J. T. Poole (1968)
Annales Polonici Mathematici
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Józef Baranowicz (1976)
Annales Polonici Mathematici
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O. Tammi (1967)
Colloquium Mathematicae
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Trimble, S.Y. (1987)
International Journal of Mathematics and Mathematical Sciences
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M. Obradović (1985)
Matematički Vesnik
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K. S. Padmanabhan, R. Bharati (1983)
Annales Polonici Mathematici
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Lachance, M. (1980)
International Journal of Mathematics and Mathematical Sciences
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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.
Dmitri Prokhorov (2011)
Annales UMCS, Mathematica
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We consider the Löwner-Kufarev differential equations generating univalent maps of the unit disk onto domains bounded by analytic Jordan curves. A solution to the problem of the maximal lifetime shows how long a representation of such functions admits using infinitesimal generators analytically extendable outside the unit disk. We construct a Löwner-Kufarev chain consisting of univalent quadratic polynomials and compare the Löwner-Kufarev representations of bounded and arbitrary univalent...
Dmitri Prokhorov (2011)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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We consider the Lowner-Kufarev differential equations generating univalent maps of the unit disk onto domains bounded by analytic Jordan curves. A solution to the problem of the maximal lifetime shows how long a representation of such functions admits using infinitesimal generators analytically extendable outside the unit disk. We construct a Lowner-Kufarev chain consisting of univalent quadratic polynomials and compare the Lowner-Kufarev representations of bounded and arbitrary univalent...
Samaris, N. (1996)
International Journal of Mathematics and Mathematical Sciences
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