On general estimations of coefficients of bounded symmetric univalent functions
Zyskowska, Krystyna (2015-11-13T12:12:57Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Zyskowska, Krystyna (2015-11-13T12:12:57Z)
Acta Universitatis Lodziensis. Folia Mathematica
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Wiesław Majchrzak (1977)
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Pietrasik, Longin (2015-11-28T13:31:35Z)
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The paper is devoted to a class of functions analytic, univalent, bounded and non-vanishing in the unit disk and in addition, symmetric with respect to the real axis. Variational formulas are derived and, as applications, estimates are given of the first and second coefficients in the considered class of functions.
Ma, William, Minda, David (1997)
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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.
Lachance, M. (1980)
International Journal of Mathematics and Mathematical Sciences
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