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can any1 explain some small stuff about harmonic and conjugate functions?
 one year ago
 one year ago
can any1 explain some small stuff about harmonic and conjugate functions?
 one year ago
 one year ago

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edr1cBest ResponseYou've already chosen the best response.0
i know that for a function to be harmonic it must satisfy the laplace equation in 2 dimension, and a conjugate function must satisfy the cauchy riemanns equation. so all conjugate must be harmonic also? or vice versa, or i cant make that relationship?
 one year ago

anas2000Best ResponseYou've already chosen the best response.0
In mathematics, a function defined on some open domain is said to have as a conjugate a function if and only if they are respectively real and imaginary part of a holomorphic function of the complex variable That is, is conjugate to if is holomorphic on As a first consequence of the definition, they are both harmonic realvalued functions on . Moreover, the conjugate of if it exists, is unique up to an additive constant. Also, is conjugate to if and only if is conjugate to .
 one year ago

edr1cBest ResponseYou've already chosen the best response.0
so a conjugate function is always harmonic, ie. called a conjugate harmonic function? since conjugate function need to satisfy the CR equation, and by the 2nd CR equation it satisfies the laplace equation. so can i conclude like this?
 one year ago
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