His research in Helsinki and at the Polytechnic Institute in Zurich resulted in his innovative approach to conformal mapping and a noted study of the asymptotic values of an entire function.
42.
Schaeffer worked with Donald Spencer at Stanford University on variational problems of conformal mapping, " e . g . " coefficient ranges for schlicht functions ( functions analytic and one-to-one ).
43.
Widely used in these books was the well-developed theory of conformal mappings of functions of a complex variable, allowing one to derive a large number of exact solutions of plane problems.
44.
However it has some advantages when applied to non-simply-connected domains and in selecting initial approximations for numerical techniques that compute Schwarz Christoffel mappings, a different technique for conformal mapping of polygonal domains.
45.
However, by employing a very simple conformal mapping, the inconvenient angle is mapped to one of precisely pi radians, meaning that the corner of two planes is transformed to a straight line.
46.
"Theory of functions of a complex variable " : He greatly extended the theory of conformal transformation proving his theorem about the extension of conformal mapping to the boundary of Jordan domains.
47.
In addition to working in a number of different mathematical domains including complex analysis, conformal mapping, topology, ordinary differential equations and the gamma function, Lindel�f promoted the study of the history of Finnish mathematics.
48.
Fej�r collaborated to produce important papers, one with Carath�odory on entire functions in 1907 and another major work with Frigyes Riesz in 1922 on conformal mappings ( specifically, a short proof of the Riemann mapping theorem ).
49.
We may consider it as an isometric mapping of a surface onto the plane area that will be conformal mapping and equiareal mapping simultaneously because of invariant angles between any curves and invariance of any pieces of area.
50.
The essay was studied at University of British Columbia in 1949 when Geoffry Fox wrote his master s thesis " Elementary function theory of a hypercomplex variable and the theory of conformal mapping in the hyperbolic plane ".
