An invitation to the study of univalent and multivalent functions.
Goodman, A.W. (1979)
International Journal of Mathematics and Mathematical Sciences
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Goodman, A.W. (1979)
International Journal of Mathematics and Mathematical Sciences
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K. S. Padmanabhan, R. Bharati (1983)
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.
Lachance, M. (1980)
International Journal of Mathematics and Mathematical Sciences
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Tăut, Adela Olimpia, Oros, Georgia Irina, Şendruţiu, Roxana (2008)
Banach Journal of Mathematical Analysis [electronic only]
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Trimble, S.Y. (1987)
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)
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.
Ma, William, Minda, David (1997)
Annales Academiae Scientiarum Fennicae. 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.
Samaris, N. (1996)
International Journal of Mathematics and Mathematical Sciences
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O. Tammi (1967)
Colloquium Mathematicae
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M. Obradović (1985)
Matematički Vesnik
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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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