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If f(Z) is an analytical function and (r, θ) denotes the polar co-ordinates, then:
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If f(Z) is an analytical function and (r, θ) denotes the polar c...
Cauchy Riemann Equation in Polar Form:
A function f(z) which is single-valued and possesses a unique derivative with respect to z at all points of a region R, is called an analytic function of z in that region.
If f = u + iv is differentiable at z = re then the Polar Cauchy Riemann equations at (r, θ) and x = rcos θ and y = rsin θ is given by, 

Important Point:
Cauchy Riemann Equation in Rectangular Form:
If f(z) = u (x, y) + iv (x,y) is differentiable at z = x + iy. Then at z the first order patial derivatives of u and v exist and satisfy:
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Most Upvoted Answer
If f(Z) is an analytical function and (r, θ) denotes the polar c...
Cauchy Riemann Equation in Polar Form:
A function f(z) which is single-valued and possesses a unique derivative with respect to z at all points of a region R, is called an analytic function of z in that region.
If f = u + iv is differentiable at z = re then the Polar Cauchy Riemann equations at (r, θ) and x = rcos θ and y = rsin θ is given by, 

Important Point:
Cauchy Riemann Equation in Rectangular Form:
If f(z) = u (x, y) + iv (x,y) is differentiable at z = x + iy. Then at z the first order patial derivatives of u and v exist and satisfy:
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If f(Z) is an analytical function and (r, θ) denotes the polar co-ordinates, then:a)b)c)d)Correct answer is option 'A'. Can you explain this answer? for Civil Engineering (CE) 2025 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If f(Z) is an analytical function and (r, θ) denotes the polar co-ordinates, then:a)b)c)d)Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If f(Z) is an analytical function and (r, θ) denotes the polar co-ordinates, then:a)b)c)d)Correct answer is option 'A'. Can you explain this answer?.
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