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?
complex-analysis complex-geometry vector-fields analytic-functions
asked Nov 14 at 6:22
robin
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up vote
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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?
complex-analysis complex-geometry vector-fields analytic-functions
asked Nov 14 at 6:22
robin
183
add a comment |
up vote
1
down vote
favorite
up vote
1
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?
complex-analysis complex-geometry vector-fields analytic-functions
asked Nov 14 at 6:22
robin
183
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
complex-analysis complex-geometry vector-fields analytic-functions
asked Nov 14 at 6:22
robin
183
asked Nov 14 at 6:22
robin
183
edited Nov 14 at 6:47
asked Nov 14 at 6:22
robin
183
asked Nov 14 at 6:22
robin
183
asked Nov 14 at 6:22
robin
183
183
add a comment |
add a comment |
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