A community for students.
Here's the question you clicked on:
 0 viewing
edr1c
 3 years ago
can any1 explain some small stuff about harmonic and conjugate functions?
edr1c
 3 years ago
can any1 explain some small stuff about harmonic and conjugate functions?

This Question is Closed

edr1c
 3 years ago
Best ResponseYou've already chosen the best response.0i 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?

anas2000
 3 years ago
Best ResponseYou've already chosen the best response.0In 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 .

edr1c
 3 years ago
Best ResponseYou've already chosen the best response.0so 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?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.