Let f(z) = u +iv be an analytic function. If u = u³ – 3x²y find f(z).

Let f(z) = u +iv be an analytic function.
If u = u³ – 3x²y find f(z).

---

---

sharon kalunda answered the question on May 10, 2019 at 12:30

Exams With Marking Schemes

• Grade 1
• Grade 2
• Grade 3
• Grade 4
• Grade 5
• Grade 6
• Grade 7
• Grade 8
• Grade 9
• PP1
• PP2
• Playgroup
• Form 1
• Form 2
• Form 3
• Form 4

Related Questions

---

• 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)

• Define analytic function (Solved)
  

  Define analytic function

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

• Derive of a function of complex variables. (Solved)
  

  Derive of a function of complex variables.

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

• For what values of z is the following function continuous? (Solved)
  

  For what values of z is the following function continuous?
  

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

• Show that the following function is not continuous at z = i (Solved)
  

  Show that the following function is not continuous at z = i
  
  

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

• Prove that f(z) = 2z² is continuous at z = z₀ (Solved)
  

  Prove that f(z) = 2z² is continuous at z = z₀

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

• Prove that (Solved)
  

  

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

• If a + ib is a root of a polynomial, a₀zⁿ +a₁z^n-1 +...........+a_n =0 a₀, a₁…a_n are real number. show that its conjugate a – ib is also... (Solved)
  

  If a + ib is a root of a polynomial,
  a₀zⁿ +a₁z^n-1 +...........+a_n =0
  a₀, a₁…a_n are real number.
  show that its conjugate a – ib is also a root of the same equation or the zeros of a
  polynomial with real coefficients always occur in conjugate pairs.

  Date posted: May 2, 2019 .    Answers (1)

• Find all the 6^th roots of unity. (Solved)
  

  Find all the 6^th roots of unity.

  Date posted: May 2, 2019 .    Answers (1)

• Find the square roots of –15 – 8i (Solved)
  

  Find the square roots of –15 – 8i

  Date posted: May 2, 2019 .    Answers (1)

• Solve the equation z⁴ - 16 = 0 (Solved)
  

  Solve the equation z⁴ - 16 = 0

  Date posted: May 2, 2019 .    Answers (1)

• Solve the equation z³ = -1³= -1 giving three values of the roots. (Solved)
  

  Solve the equation z³ = -1³= -1 giving three values of the roots.

  Date posted: May 2, 2019 .    Answers (1)

• Simplify the expression below; (Solved)
  

  Simplify the expression below;
  

  Date posted: May 2, 2019 .    Answers (1)

• Given z₁ and z₂,show that. (Solved)
  

  Let
  
  show that
  

  Date posted: May 2, 2019 .    Answers (1)

• Simplify the expression below; (Solved)
  

  Simplify the expression below;
  

  Date posted: May 2, 2019 .    Answers (1)

• Simplify the expression given below; (Solved)
  

  Simplify the expression given below;
  

  Date posted: May 2, 2019 .    Answers (1)

• Express z = 4 + 3i in polar form (Solved)
  

  Express z = 4 + 3i in polar form

  Date posted: May 2, 2019 .    Answers (1)