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We mainly establish the distortion theorems of Jacobi determinant for three subclasses of starlike mappings on B, where $$B_p^n = \{ z = {({z_1},...,{z_n})^T} \in {\mathbb{C}^n}:\sum\nolimits_{l = 1}^n {|{z_l}{|^p} 1.… Click to show full abstract
We mainly establish the distortion theorems of Jacobi determinant for three subclasses of starlike mappings on B, where $$B_p^n = \{ z = {({z_1},...,{z_n})^T} \in {\mathbb{C}^n}:\sum\nolimits_{l = 1}^n {|{z_l}{|^p} 1. In particular, the above distortion theorems are sharp if B is the unit polydisk in ℂn: Our results reduce to the corresponding classical results in one dimension of complex function theory.
Keywords:
sharp distortion;
distortion theorems;
distortion;
starlike mappings;
subclasses starlike;
theorems subclasses
Journal Title: Frontiers of Mathematics in China
Year Published: 2020
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Journal Title: Frontiers of Mathematics in China
Year Published: 2020
Link to full text (if available)
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recommendations!