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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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)
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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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Lachance, M. (1980)
International Journal of Mathematics and Mathematical Sciences
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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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Samaris, N. (1996)
International Journal of Mathematics and Mathematical Sciences
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K. S. Padmanabhan, R. Bharati (1983)
Annales Polonici Mathematici
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Sumit Nagpal, V. Ravichandran (2012)
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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.
K. S. Padmanabhan, R. Bharati (1983)
Annales Polonici Mathematici
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Goodman, A.W. (1979)
International Journal of Mathematics and Mathematical Sciences
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J. Śladkowska (1998)
Annales Polonici Mathematici
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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.