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Author |
Arbelaez, H.; Hernandez, R.; Sierra, W. |
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Title |
Normal harmonic mappings |
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Year |
2019 |
Publication |
Monatshefte Fur Mathematik |
Abbreviated Journal |
Mon.heft. Math. |
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Volume |
190 |
Issue |
3 |
Pages |
425-439 |
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Keywords |
Harmonic mappings; Normal family; Normal mappings; Univalent function |
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Abstract |
The main purpose of this paper is to study the concept of normal function in the context of harmonic mappings from the unit disk D to the complex plane. In particular, we obtain necessary conditions for a function f to be normal. |
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Address |
[Arbelaez, Hugo] Univ Nacl Colombia, Medellin, Colombia, Email: hjarbela@unal.edu.co; |
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Springer Wien |
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English |
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ISSN |
0026-9255 |
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Notes |
WOS:000490002700003 |
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Call Number |
UAI @ eduardo.moreno @ |
Serial |
1087 |
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Author |
Arevalo, I.; Hernandez, R.; Martin, M.J.; Vukotic, D. |
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Title |
On weighted compositions preserving the Caratheodory class |
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Year |
2018 |
Publication |
Monatshefte Fur Mathematik |
Abbreviated Journal |
Mon.heft. Math. |
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Volume |
187 |
Issue |
3 |
Pages |
459-477 |
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Keywords |
Functions with positive real part (Caratheodory class); Weighted composition transformation; Angular derivative; Inner functions; Fixed points; 30C45; 47B33 |
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Abstract |
We characterize in various ways the weighted composition transformations which preserve the class P of normalized analytic functions in the disk with positive real part. We analyze the meaning of the criteria obtained for various special cases of symbols and identify the fixed points of such transformations. |
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Address |
[Arevalo, Irina; Vukotic, Dragan] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain, Email: irina.arevalo@uam.es; |
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Springer Wien |
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English |
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0026-9255 |
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Notes |
WOS:000445654000004 |
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Call Number |
UAI @ eduardo.moreno @ |
Serial |
916 |
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Author |
Bravo, V.; Hernandez, R.; Ponnusamy, S.; Venegas, O. |
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Title |
Pre-Schwarzian and Schwarzian derivatives of logharmonic mappings |
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Year |
2022 |
Publication |
Monatshefte Fur Mathematik |
Abbreviated Journal |
Monatsh. fur Math. |
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Volume |
199 |
Issue |
4 |
Pages |
733-754 |
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Keywords |
Pre-Schwarzian and Schwarzian derivatives; Harmonic and logharmonic mappings; Univalence criterion |
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Abstract |
We introduce definitions of pre-Schwarzian and Schwarzian derivatives for logharmonic mappings, and basic properties such as the chain rule, multiplicative invariance and affine invariance are proved for these operators. It is shown that the pre-Schwarzian is stable only with respect to rotations of the identity. A characterization is given for the case when the pre-Schwarzian derivative is holomorphic. |
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0026-9255 |
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WOS:000750771000001 |
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Call Number |
UAI @ alexi.delcanto @ |
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1531 |
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