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1
Content available remote k-Fold symmetrical mappings and loewner chains
Hamada H., Kohr G.
Demonstratio Mathematica
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2007
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Vol. 40, nr 1
85-94
EN
Let B be the unit ball in Cn with respect to an arbitrary norm on Cn. In this paper, we give a necessary and su.cient condition that a Loewner chain f(z, t), such that {e-tf(z, t)}t is more than or equal to 0 is a normal family on B, is k-fold symmetrical. As a corollary, we give a necessary and su.cient condition that a normalized locally biholomorphic mapping on B is spirallike of type and k-fold symmetrical. When alpha = 0, this result solves a natural problem that is similar to an open problem posed by Liczberski. We also give two examples of k-fold symmetrical Loewner chains.
2
Content available remote A class of rational mappings in several complex variables
Hamada H., Kohr G.
Demonstratio Mathematica
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2005
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Vol. 38, nr 2
323--330
EN
In this paper, we will give coefficient conditions for mappings of the form f(z) = z/(1+sum for k=1 bkzk1 to infinity) to be starlike or convex on the Euclidean unit ball B in Cn. Our results give concrete examples of strongly starlike mappings of order a, starlike mappings of order a and convex mappings on B.
3
Content available remote On some sufficient conditions for univalence in complex Banach spaces
Hamada H., Kohr G., Liczberski P.
Demonstratio Mathematica
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2000
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Vol. 33, nr 2
289-294
EN
In this paper, we will consider some sufficient conditions for locally biholomorphic mappings defined in the unit ball in complex Banach spaces to be biholomorphic and to have (phi)-like images. As a corollary, we obtain some sufficient condition for locally biholomorphic mappings to be starlike mappings.
4
Content available remote General partial differential subordinations for holomorphic mappings in complex Banach spaces
Hamada H., Kohr G., Liczberski P.
Demonstratio Mathematica
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2000
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Vol. 33, nr 3
481-487
EN
In this paper, we will consider classes of subordinations involving partial derivatives of holomorphic mappings in complex Banach spaces.
5
Spirallike mappings on bounded balanced pseudoconvex domain in Cn
Hamada H., Kohr G.
Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka
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1998
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z. 22 [170]
9-21
EN
In this paper we will give some conditions of spirallikeness for holomorphic mappings defined on bounded balanced pseudoconvex domains in Cn with C1 plurisubharmonic defining functions.
6
Content available remote On some alpha convex mappings on the unit ball Cn
Kohr G.
Demonstratio Mathematica
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1998
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Vol. 31, nr 1
209-222
EN
In this paper the author defined the notion of alpha-convexity of order gamma in the se
7
Content available remote Certain sufficient conditions of injectivity in Cn
Kohr G.
Demonstratio Mathematica
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1998
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Vol. 31, nr 2
395-404
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