Mapping and Cauchy- Reimann conditions











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If a complex function is analytic it must hold Cauchy-Reimann Conditions, So conjugate of F(Z) is irrotational and solenoidal , Does this points mapping from $R^2 $ to a subspace of $R^2 $ ($R^1 $) , if F(Z) maps to $R^2 $ we dont get a divergent less field , But the above interpretation does not satisfy idea of conformal mappings , can any one correct me?










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    If a complex function is analytic it must hold Cauchy-Reimann Conditions, So conjugate of F(Z) is irrotational and solenoidal , Does this points mapping from $R^2 $ to a subspace of $R^2 $ ($R^1 $) , if F(Z) maps to $R^2 $ we dont get a divergent less field , But the above interpretation does not satisfy idea of conformal mappings , can any one correct me?










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      up vote
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      down vote

      favorite











      If a complex function is analytic it must hold Cauchy-Reimann Conditions, So conjugate of F(Z) is irrotational and solenoidal , Does this points mapping from $R^2 $ to a subspace of $R^2 $ ($R^1 $) , if F(Z) maps to $R^2 $ we dont get a divergent less field , But the above interpretation does not satisfy idea of conformal mappings , can any one correct me?










      share|cite|improve this question









      New contributor




      robin is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.











      If a complex function is analytic it must hold Cauchy-Reimann Conditions, So conjugate of F(Z) is irrotational and solenoidal , Does this points mapping from $R^2 $ to a subspace of $R^2 $ ($R^1 $) , if F(Z) maps to $R^2 $ we dont get a divergent less field , But the above interpretation does not satisfy idea of conformal mappings , can any one correct me?







      complex-analysis complex-geometry vector-fields analytic-functions






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