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Author |
Hernandez, R.; Venegas, O. |
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Title |
Distortion Theorems Associated with Schwarzian Derivative for Harmonic Mappings |
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Year |
2019 |
Publication |
Complex Analysis And Operator Theory |
Abbreviated Journal |
Complex Anal. Oper. Theory |
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Volume |
13 |
Issue |
4 |
Pages |
1783-1793 |
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Keywords |
Schwarzian derivative; Harmonic mappings; Distortion theorems |
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Abstract |
Let f be a complex-valued harmonic mapping defined in the unit disc D. The theorems of Chuaqui and Osgood (J Lond Math Soc 2:289-298, 1993), which assert that the bounds of the size of the hyperbolic norm of the Schwarzian derivative for an analytic function f imply certain bounds for distortion and growth of f, are extended to the harmonic case. |
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Address |
[Hernandez, Rodrigo] Univ Adolfo Ibanez, Fac Ingn & Ciencias, Av Padre Hurtado 750, Vina Del Mar, Chile, Email: rodrigo.hernandez@uai.cl; |
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Publisher |
Springer Basel Ag |
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English |
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ISSN |
1661-8254 |
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Notes |
WOS:000469812800015 |
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Call Number |
UAI @ eduardo.moreno @ |
Serial |
1030 |
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