Prestarlike functions with negative coefficients.
Silverman, H., Silvia, E.M. (1979)
International Journal of Mathematics and Mathematical Sciences
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Silverman, H., Silvia, E.M. (1979)
International Journal of Mathematics and Mathematical Sciences
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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.
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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Al-Amiri, H.S., Fernando, Thotage S. (1990)
International Journal of Mathematics and Mathematical Sciences
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Noor, Khalida Inayat (1993)
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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Brown, R.K. (1982)
International Journal of Mathematics and Mathematical Sciences
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Johnny E. Brown (1984)
Mathematische Zeitschrift
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Ahuja, O.P., Silverman, H. (1983)
International Journal of Mathematics and Mathematical Sciences
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Darwish, H.E. (2007)
General Mathematics
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D. V. Prokhorov (1993)
Annales Polonici Mathematici
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Extremal coefficient properties of Pick functions are proved. Even coefficients of analytic univalent functions f with |f(z)| < M, |z| < 1, are bounded by the corresponding coefficients of the Pick functions for large M. This proves a conjecture of Jakubowski. Moreover, it is shown that the Pick functions are not extremal for a similar problem for odd coefficients.
J. T. Poole (1968)
Annales Polonici Mathematici
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Józef Baranowicz (1976)
Annales Polonici Mathematici
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