(a) Find a Schwarz-Christoffel transformation of the upper half-plane onto the do- main D = {reite C: r > 0, -7/3
(a) Find a Schwarz-Christoffel transformation of the upper half-plane onto the do- main D = {reite C: r > 0, -7/3
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(a) Find a Schwarz-Christoffel transformation of the upper half-plane onto the do-
main D = {ret E C: r > 0, -T/3 <t <n}.
(b) Find a Schwarz-Christoffel transformation of the upper half-plane (UHP) onto
the subset of the UHP bordered by the positive real axis, the vertical segment
V = {iy: 0 < y < L} where L > 0 is a positive constant, and the infinite
horizontal segment H = {x+ Li: x <0}.
(c) Use a computer to visualize the above transformations by plotting the image of
the Cartesian grid relative to the mappings in (a) and (b).
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