Proving the Function f(z) = 3x + y + i(3y - x) is Entire using the Cauchy Riemann Equations

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In this video I prove that a function is entire using the Cauchy Riemann Equations. An entire function is one that is analytic on the entire complex plane. I hope this video helps someone out there!

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really clear and simple explanation on something i thought was hard to understand. thank you!

brianb

Excellent video, and it is indeed helpful for someone in the world, like me a mexican physics student

ricardo

Thank you sir...just completed my assignment problem

Calmly__kambli

💓💓😁😁💗❤❤💙❤😔😔😏💋💋💕💕💔💔💔💔💕💓💓🌷🌷😁😁😁 this is so true and can understand what your saying and mean.

georgettebeulah

Could you please do a follow up video showing several examples where the C.R. eq's do not hold? Thanks.

ktown

My Teacher Taught different method, will I get marks from this method ??

vanshparmar

Very good video thank you.
Is there a proof why the derivative of an analytic funtion is equal Vx+iUx=Uy-iVx

mikami

Very helpful video, thank you. If you were to solve for the partials, and the C.R. eq's were not equal to each other, can we set the C.R. eq's up and solve the system to show where the function is differentiable?

robertgiangregorio

Hey, can you help me to solve this issue.
Functions analytic
F(z) =e^x siny

Chef_fatima

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