On univalent p-symmetric functions in the unit disc
Wiesław Majchrzak (1977)
Annales Polonici Mathematici
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Wiesław Majchrzak (1977)
Annales Polonici Mathematici
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Z. J. Jakubowski, A. Zielińska, K. Zyskowska (1983)
Annales Polonici Mathematici
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J. Śladkowska (1998)
Annales Polonici Mathematici
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Józef Baranowicz (1976)
Annales Polonici Mathematici
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J. T. Poole (1968)
Annales Polonici Mathematici
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J. Śladkowska (1996)
Annales Polonici Mathematici
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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.
O. Tammi (1967)
Colloquium Mathematicae
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Tăut, Adela Olimpia, Oros, Georgia Irina, Şendruţiu, Roxana (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Ma, William, Minda, David (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Richard J. Libera, Eligiusz Złotkiewicz (1988)
Colloquium Mathematicae
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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.
M. Obradović (1985)
Matematički Vesnik
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Wiesław Majchrzak (1979)
Annales Polonici Mathematici
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K. S. Padmanabhan, R. Bharati (1983)
Annales Polonici Mathematici
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Trimble, S.Y. (1987)
International Journal of Mathematics and Mathematical Sciences
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Lachance, M. (1980)
International Journal of Mathematics and Mathematical Sciences
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Samaris, N. (1996)
International Journal of Mathematics and Mathematical Sciences
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