Complex Analysis/Exercises/Sheet 2/Task 3: Revision history

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14 January 2025

  • curprev 12:1112:11, 14 January 2025 imported>Eshaa2024 6,287 bytes +6,287 New resource with "==== Task (Working with Polynomials, 5 Points) ==== Consider a polynomial <math>p\colon \mathbf C \to \mathbf C</math>, given by <center><math> p(z) = \sum_{{0\le \kappa \le k\atop 0 \le \lambda \le \ell}} a_{\kappa\lambda} x^\kappa y^\lambda</math></center> with <math>x = \mathop{\rm Re} z</math> and <math>y = \mathop{\rm Im} z</math>. Show that <math>p</math> can also be expressed as a polynomial in <math>z</math> and <math>\bar z</math> by specifying the coefficie..."