Harmonic functions | Partial differential equations
In mathematics, a real-valued function defined on a connected open set is said to have a conjugate (function) if and only if they are respectively the real and imaginary parts 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 real-valued 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 . (Wikipedia).
How to Find a Harmonic Conjugate for a Complex Valued Function
How to Find a Harmonic Conjugate for a Complex Valued Function Nice example of finding a harmonic conjugate for u(x, y) = x^2 - y^2 - x + y. I did this the shortest/fastest/easiest way possible. Hope this helps:)
From playlist Complex Analysis
How to find a Harmonic Conjugate Complex Analysis
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From playlist Complex Analysis
Find a Harmonic Conjugate of u(x, y) = sin(x)*cosh(y)
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Find a Harmonic Conjugate of u(x, y) = sin(x)*cosh(y)
From playlist Complex Analysis
Find a Harmonic Conjugate of u(x, y) = y
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Find a Harmonic Conjugate of u(x, y) = y
From playlist Complex Analysis
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From playlist Intro to Complex Numbers
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From playlist PiTP 2010
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From playlist Complex Analysis
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