Exact sympy verification of the Cauchy-Riemann system in two complex variables for the monomial f(z₁, z₂) = z₁² z₂³ on C² with Wirtinger derivatives ∂/∂z̄ᵢ = (1/2)(∂/∂xᵢ + i·∂/∂yᵢ) where zᵢ = xᵢ + i·yᵢ. Direct computation: ∂f/∂z̄_1 =…
Exact sympy verification of the Cauchy-Riemann system in two complex variables for the monomial f(z₁, z₂) = z₁² z₂³ on C² with Wirtinger derivatives ∂/∂z̄ᵢ = (1/2)(∂/∂xᵢ + i·∂/∂yᵢ) where zᵢ = xᵢ + i·yᵢ. Direct computation: ∂f/∂z̄_1 =…