anonymous
  • anonymous
can any1 explain some small stuff about harmonic and conjugate functions?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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?
anonymous
  • anonymous
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 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 .
anonymous
  • anonymous
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?

Looking for something else?

Not the answer you are looking for? Search for more explanations.