복소수,complex_number $z=x+iy$ 일 때
복소함수,complex_function $f(z)=u(x,y)+iv(x,y)$ 가 미분가능 하기 위한?? 가 analytic하기 위한(해석함수,analytic_function?) 필충조건?? 필요조건? CHK

//wpen
"....form a necessary and sufficient condition for a complex function to be holomorphic (complex differentiable)."
정칙함수,holomorphic_function or 정칙함수,regular_function - 둘 아마 같은듯? - writing


에서 <- 이게뭐지? ....assumption/precondition을 나중에 적으려고 했던건가?
$u_x=v_y$
$u_y=-v_x$
or
$\frac{\partial u}{\partial x}=\frac{\partial v}{\partial y}$
$\frac{\partial u}{\partial y}=-\frac{\partial v}{\partial x}$
CHK!!!

f가 해석적이면, 실수부 함수 u와 허수부 함수 v는 서로에 대해 공액조화함수/켤레조화함수 conjugate harmonic function CHK

찾다 보면 조화함수,harmonic_function and 라플라스_방정식,Laplace_equation 언급됨.


Twins:
[https]수학백과: 코시-리만 방정식(https://terms.naver.com/entry.naver?docId=4125471&ref=y&cid=60207&categoryId=60207)
https://mathworld.wolfram.com/Cauchy-RiemannEquations.html
https://everything2.com/title/Cauchy-Riemann equations
https://en.wikiversity.org/wiki/Cauchy-Riemann_Equations (정리와 증명)
https://encyclopediaofmath.org/wiki/Cauchy-Riemann_equations
WpEn:Cauchy–Riemann_equations
WpKo:코시-리만_방정식


Up: 연립 편미분방정식,partial_differential_equation,PDE
Retrieved from http://tomoyo.ivyro.net/123/wiki.php/코시-리만_방정식,Cauchy-Riemann_equation
last modified 2022-12-27 14:47:11