One of the following statements is false :Select one а. If v is a harmonic conjugate of u, then -u is a harmonic conjugate of v. b. If f is an analytic function such that Ifl is a constant function then 7 is analytic. C. Ifvis a harmonic conjugate of u and if u is a harmonic conjugate of z then both u and v are equal. d. If f and f are both analytic then f is a constant.

One of the following statements is false :Select one а. If v is a harmonic conjugate of u, then -u is a harmonic conjugate of v. b. If f is an analytic function such that Ifl is a constant function then 7 is analytic. C. Ifvis a harmonic conjugate of u and if u is a harmonic conjugate of z then both u and v are equal. d. If f and f are both analytic then f is a constant.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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One of the following statements is false If f(z) = u + iv is analytic function then v is a harmonic conjugate of u. If f is an analytic function such that |f| is a constant function then f is analytic. If v is a harmonic conjugate of u, then -u is a harmonic conjugate of v. None of them If f and f are both analytic then f is a constant.
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