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Which one of the followimg is true statement? O(A) If f(e) =+w is analytic in a region D, then u and v are harmonic. O(B If z is a harmonic function in a domain D. there is a function v which is harmonic such that f(2)=u+ iv is analytic o(C) Both (A) and B) are true statement. O(D) None.of these is true statement.

Which one of the followimg is true statement? O(A) If f(e) =+w is analytic in a region D, then u and v are harmonic. O(B If z is a harmonic function in a domain D. there is a function v which is harmonic such that f(2)=u+ iv is analytic o(C) Both (A) and B) are true statement. O(D) None.of these is true statement.

Advanced Engineering Mathematics
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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Which one of the following is true statement? O(A) If f(e) =+w is analytic in a region D, then u and v are harmonic. O(B If z is a harmonic function in a domain D. there is a function v which is harmonic such that f()=u+ iv is analytic CC) Both (A) and B) are true statement. O(DNone.of these is true statement.
Transcribed Image Text:Which one of the following is true statement? O(A) If f(e) =+w is analytic in a region D, then u and v are harmonic. O(B If z is a harmonic function in a domain D. there is a function v which is harmonic such that f()=u+ iv is analytic CC) Both (A) and B) are true statement. O(DNone.of these is true statement.
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