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Encyclopedia > Upper half plane

In mathematics, the upper half plane H is the set of complex numbers x + iy such that y > 0. It is the domain of many functions of interest in complex analysis, especially modular forms. It is also plays an important role in hyperbolic geometry, where the Poincaré half-plane model provides a way of examining hyperbolic motions.


See also


  Results from FactBites:
 
Model Plane HQ - Half Plane Model (785 words)
half plane model is a conformal model attributed to Henri Poincaré.
The Upper-half plane model of hyperbolic space Hyperbolic space is a fascinating placefull of surprises.
It is a proper subset of the Euclidean plane.
  More results at FactBites »


 

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