A 10 Points Find A Linear Fractional Transformation W T 2 With The Properties That T 1 0 7 0 1 And 7 1 1 (14.86 KiB) Viewed 38 times
A 10 Points Find A Linear Fractional Transformation W T 2 With The Properties That T 1 0 7 0 1 And 7 1 2 (7.49 KiB) Viewed 38 times
A 10 Points Find A Linear Fractional Transformation W T 2 With The Properties That T 1 0 7 0 1 And 7 1 3 (20.17 KiB) Viewed 38 times
(a) (10 points) Find a linear fractional transformation w = T(2) with the properties that T(-1)=0, 7(0) = 1, and 7(1) = 2.
(b) (10 points) Find the image of the real axis, imaginary axis, and the unit circle under T.
(c) (20 points) Find the bounded harmonic function H(x,y) on the strip below with the indicated boundary values. (Hint: Find an entire map that maps this boundary to your desired boundary.) H=0 H=1 -H=0 H=1
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