On the monotonicity of the volume of hyperbolic convex polyhedra.
Bezdek, Károly (2005)
Beiträge zur Algebra und Geometrie
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Bezdek, Károly (2005)
Beiträge zur Algebra und Geometrie
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William Ma, David Minda (1999)
Annales Polonici Mathematici
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Unlike those for euclidean convex functions, the known characterizations for hyperbolically convex functions usually contain terms that are not holomorphic. This makes hyperbolically convex functions much harder to investigate. We give a geometric proof of a two-variable characterization obtained by Mejia and Pommerenke. This characterization involves a function of two variables which is holomorphic in one of the two variables. Various applications of the two-variable characterization...
Blezu, Dorin (2001)
General Mathematics
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A. W. Goodman (1991)
Annales Polonici Mathematici
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We introduce a new class of normalized functions regular and univalent in the unit disk. These functions, called uniformly convex functions, are defined by a purely geometric property. We obtain a few theorems about this new class and we point out a number of open problems.
Darus, Maslina (2002)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Oros, Georgia Irina (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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Acu, Mugur (2006)
Acta Universitatis Apulensis. Mathematics - Informatics
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Emilija Nešović (2005)
Kragujevac Journal of Mathematics
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Acu, Mugur, Al-Oboudi, Fatima, Darus, Maslina, Owa, Shigeyoshi, Polatog̃lu, Yaşar, Yavuz, Emel (2008)
International Journal of Open Problems in Computer Science and Mathematics. IJOPCM
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Singh, Ram, Singh, Sukhjit (2000)
International Journal of Mathematics and Mathematical Sciences
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Acu, Mugur (2005)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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The, Dennis (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Albert E. Livingston (1994)
Annales Polonici Mathematici
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We study functions f(z) which are meromorphic and univalent in the unit disk with a simple pole at z = p, 0 < p < 1, and which map the unit disk onto a domain whose complement is either convex or is starlike with respect to a point w₀ ≠ 0.
El--Ashwah, R.M. (2010)
Acta Universitatis Apulensis. Mathematics - Informatics
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