PlanetMath (more info)
 Math for the people, by the people. Sponsor PlanetMath
Encyclopedia | Requests | Forums | Docs | Wiki | Random | RSS  
Login
create new user
name:
pass:
forget your password?
Main Menu
Owner confidence rating: Low Entry average rating: Very high
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.
(view preamble | get metadata)

View style:

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
Log in to rate this entry.
(view current ratings)

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 5391 times total.

Classification:
AMS MSC30A99 (Functions of a complex variable :: General properties :: Miscellaneous)

Pending Errata and Addenda
None.
[ View all 3 ]
Discussion
Style: Expand: Order:
forum policy

No messages.

Interact
post | correct | update request | add derivation | add example | add (any)