Analytic Polynomials
Reading
Section 2.1
Problems
Practice problems:
- Page 32: 3, 5, 6, 7
Topics to know
- Definition of “analytic polynomial”
- A polynomial is analytic iff \(P_y = iP_x\)
- One direction: Straightforward (basically boils down to \(z^k\) case)
- Other direction: Focus on “same degree”
- Rewrite equations in terms of \(u,v\) components
- Definition of differentiable functions