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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6420 • PDE

Fall 1999 • Question 9

Question

Math 6420 • PDE Fall 1999 • Question 9

Find a conformal transformation of the domain \(D\) between the unit circle \(\Gamma _1=\{z=x+iy: |z|=1\}\) and the vertical line \(\Gamma _2=\{z=x+iy: x=5/3\}\) onto a domain between two concentric circles.

Raw LaTeX

Find a conformal transformation of the domain \(D\) between the
unit circle \(\Gamma_1=\{z=x+iy: |z|=1\}\) and the vertical line
\(\Gamma_2=\{z=x+iy: x=5/3\}\) onto a domain between two concentric circles.

Topic Tags

Conformal Mapping and Bilinear Transformations Linear Programming and Optimization