Remark on functions with all derivatives univalent.
Lachance, M. (1980)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Lachance, M. (1980)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Trimble, S.Y. (1987)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Ma, William, Minda, David (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
Similarity:
Goodman, A.W. (1979)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Ovesea, Horiana (1996)
Novi Sad Journal of Mathematics
Similarity:
Richard J. Libera, Eligiusz Złotkiewicz (1988)
Colloquium Mathematicae
Similarity:
Tăut, Adela Olimpia, Oros, Georgia Irina, Şendruţiu, Roxana (2008)
Banach Journal of Mathematical Analysis [electronic only]
Similarity:
O. Tammi (1967)
Colloquium Mathematicae
Similarity:
Samaris, N. (1996)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Wancang Ma, David Minda (1994)
Annales Polonici Mathematici
Similarity:
We investigate univalent holomorphic functions f defined on the unit disk 𝔻 such that f(𝔻) is a hyperbolically convex subset of 𝔻; there are a number of analogies with the classical theory of (euclidean) convex univalent functions. A subregion Ω of 𝔻 is called hyperbolically convex (relative to hyperbolic geometry on 𝔻) if for all points a,b in Ω the arc of the hyperbolic geodesic in 𝔻 connecting a and b (the arc of the circle joining a and b which is orthogonal to the unit circle)...
Józef Baranowicz (1976)
Annales Polonici Mathematici
Similarity:
J. T. Poole (1968)
Annales Polonici Mathematici
Similarity:
Elin, Mark, Shoikhet, David (2006)
International Journal of Mathematics and Mathematical Sciences
Similarity:
Sumit Nagpal, V. Ravichandran (2012)
Annales Polonici Mathematici
Similarity:
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.
Larisa Gromova, Alexander Vasil'ev (1996)
Annales Polonici Mathematici
Similarity:
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.