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upper half plane (Definition)

The upper half plane in the complex plane, abbreviated UHP, is defined as $ \{ z \in {\mathbb{C}}: \operatorname{Im}(z)>0 \}$.



"upper half plane" is owned by brianbirgen.
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See Also: unit disk, complex, unit disk upper half plane conformal equivalence theorem, converting between the Poincaré disc model and the upper half plane model

Also defines:  UHP
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Cross-references: complex plane
There are 9 references to this entry.

This is version 6 of upper half plane, born on 2003-05-12, modified 2007-06-05.
Object id is 4278, canonical name is UpperHalfPlane.
Accessed 4477 times total.

Classification:
AMS MSC: 30A99 (Functions of a complex variable :: General properties :: Miscellaneous)
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