Kaomojis

∂u/∂x=∂v/∂y∂u/∂y=-∂v/∂x

#cauchy riemann equations #complex analysis #partial derivatives #pde #holomorphic #analytic function #complex differentiability #u_x=v_y #u_y=-v_x

ℂ〰️+∂⚖️⇒✨

#Looman-Menchoff theorem #complex analysis #holomorphicity #cauchy riemann equations #continuity #partial derivatives #analytic function

📐🗺️✨

#cauchy riemann equations #conformal mapping #complex analysis #analytic function #angle preservation #holomorphicity consequence #geometric interpretation

✨∑→∃!✅

#analytic function #power series representation #existence and uniqueness theorem #mathematical analysis #differential equations #unique solution