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If f(z) is analytic inside and on the boundary c of a simply connected region R and a is
any point inside the curve c then,
(Solved)
If f(z) is analytic inside and on the boundary c of a simply connected region R and a is
any point inside the curve c then,

Prove
Date posted:
May 10, 2019
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Answers (1)
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Find the fixed points of the bilinear transformation
(Solved)
Find the fixed points of the bilinear transformation

Date posted:
May 10, 2019
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Answers (1)
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Find the fixed points of the bilinear transformation
(Solved)
Find the fixed points of the bilinear transformation

Date posted:
May 10, 2019
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Answers (1)
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a) Find a bilinear transformation, which transforms the unit circle |z| = 1 into the real
axis of the w plane in such a way that...
(Solved)
a) Find a bilinear transformation, which transforms the unit circle |z| = 1 into the real
axis of the w plane in such a way that the points z1 = 1, z2 = i, z3 = -1 are mapped onto w1 = 0, w2 = 1, w3 = infinite.
b) In what regions the interior and exterior of the circle are mapped.
Date posted:
May 10, 2019
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Answers (1)
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Find a bilinear transformation which maps the points
(Solved)

Date posted:
May 10, 2019
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Answers (1)
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Find a bilinear transformation which maps the point z = 0, -i, -1 on the z plane into
w = i, 1, 0 respectively on the...
(Solved)
Find a bilinear transformation which maps the point z = 0, -i, -1 on the z plane into
w = i, 1, 0 respectively on the w plane.
Date posted:
May 10, 2019
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Answers (1)
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Explain the nature of the transformation w = z2 considering the semi-circle with centre
the origin and the radius r on the z –plane
(Solved)
Explain the nature of the transformation w = z2 considering the semi-circle with centre
the origin and the radius r on the z –plane.
Date posted:
May 10, 2019
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Answers (1)
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Let w = 3z + 4 – 5i = f(z)
Find the values of w which corresponds to z = -3 + i on the z...
(Solved)
Let w = 3z + 4 – 5i = f(z)
Find the values of w which corresponds to z = -3 + i on the z plane.
Date posted:
May 10, 2019
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Answers (1)
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Find the image of the point (4, 3) on z plane under the transformation w = 2z2 + 3.
(Solved)
Find the image of the point (4, 3) on z plane under the transformation w = 2z2 + 3.
Date posted:
May 10, 2019
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Answers (1)
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Prove that sin z = sin x cos hy + i cos x sin hy
(Solved)
Prove that sin z = sin x cos hy + i cos x sin hy
Date posted:
May 10, 2019
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Answers (1)
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Find all values of z such that
(Solved)
Find all values of z such that

Date posted:
May 10, 2019
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Answers (1)
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Find all values of z such that ez = 2
(Solved)
Find all values of z such that ez = 2
Date posted:
May 10, 2019
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Answers (1)
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Show that
(Solved)

Date posted:
May 10, 2019
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Answers (1)
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Prove that
(Solved)

Date posted:
May 10, 2019
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Answers (1)
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Show that the function;
(Solved)
Show that the function;

is not analytic at the origin, although the Cauchy –Reimann equations are satisfied at the origin.
Date posted:
May 10, 2019
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Answers (1)
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Let f (z) = u(x, y) + iv(x, y) .Prove that
(Solved)
Let f (z) = u(x, y) + iv(x, y) .Prove that

Date posted:
May 10, 2019
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Answers (1)
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Let f(z) = u +iv be an analytic function.
If u = u3 – 3x2y find f(z).
(Solved)
Let f(z) = u +iv be an analytic function.
If u = u3 – 3x2y find f(z).
Date posted:
May 10, 2019
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Answers (1)
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If the real part of an analytic function f(z) = u + iv is given, then
(Solved)
If the real part of an analytic function f(z) = u + iv is given, then

prove.
Date posted:
May 10, 2019
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Answers (1)
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Prove the Cauchy – Reimann Equations
(Solved)
Prove the Cauchy – Reimann Equations
Date posted:
May 10, 2019
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Answers (1)
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Define an entire function
(Solved)
Define an entire function
Date posted:
May 10, 2019
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Answers (1)