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,

      

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

  

Answers

---

---

sharon kalunda answered the question on May 10, 2019 at 13:20

Next: Describe the data security controls.
Previous: Describe the communication controls.

View More Complex Analysis 1 Questions and Answers | Return to Questions Index

Learn High School English on YouTube

Related Questions

---

• Find the fixed points of the bilinear transformation(Solved)
  

  Find the fixed points of the bilinear transformation
  

  Date posted: May 10, 2019.  Answers (1)

• Find the fixed points of the bilinear transformation(Solved)
  

  Find the fixed points of the bilinear transformation
  

  Date posted: May 10, 2019.  Answers (1)

• 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 z_{1 = 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.  Answers (1)

• Find a bilinear transformation which maps the points(Solved)
  

  

  Date posted: May 10, 2019.  Answers (1)

• 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.  Answers (1)

• 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.  Answers (1)

• 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.  Answers (1)

• 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.  Answers (1)

• 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.  Answers (1)

• Find all values of z such that(Solved)
  

  Find all values of z such that
  

  Date posted: May 10, 2019.  Answers (1)

• Find all values of z such that e^z = 2(Solved)
  

  Find all values of z such that e^z = 2

  Date posted: May 10, 2019.  Answers (1)

• Show that(Solved)
  

  

  Date posted: May 10, 2019.  Answers (1)

• Prove that(Solved)
  

  

  Date posted: May 10, 2019.  Answers (1)

• 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.  Answers (1)

• 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.  Answers (1)

• 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.  Answers (1)

• 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.  Answers (1)

• Prove the Cauchy – Reimann Equations(Solved)
  

  Prove the Cauchy – Reimann Equations

  Date posted: May 10, 2019.  Answers (1)

• Define an entire function(Solved)
  

  Define an entire function

  Date posted: May 10, 2019.  Answers (1)

• Define analytic function in a Region R.(Solved)
  

  Define analytic function in a Region R.

  Date posted: May 10, 2019.  Answers (1)