equation 8.4 eq:cpx-derivative

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Supports

• depends_on theorem 8.6 Cauchy–Riemann equations ¶
  • depends_on definition A.734 The Joukowski map ¶
    • depends_on lemma A.735 Transfer of the flow ¶
      • depends_on theorem A.737 The lift-curve slope of the flat plate ¶
  • depends_on example 8.7 ex:cpx-zbar ¶
  • depends_on lemma A.722 The basic lattice sum ¶
  • depends_on lemma A.606 $F$ is entire, and is the overlap in disguise ¶
    • depends_on lemma A.607 A zero-free entire function is an exponential ¶
      • depends_on proposition A.609 The exponent is a quadratic polynomial ¶
        • depends_on proposition A.611 The constraint on $\Gamma$ ¶
  • depends_on lemma A.607 A zero-free entire function is an exponential ¶ ↺
  • depends_on lemma A.599 One variable, complex coefficient ¶
    • depends_on lemma A.601 Several variables, complex symmetric matrix ¶
      • depends_on proposition A.612 The dictionary between $A$ and $\Gamma$ ¶
      • depends_on proposition A.602 The Wigner function of a Gaussian is a positive Gaussian ¶
        • depends_on proposition A.604 Non-negativity forbids a vanishing overlap ¶
  • depends_on lemma 31.67 Blasius' force formula ¶
    • depends_on theorem 31.68 Kutta–Joukowski ¶
      • depends_on proposition 31.70 The lift-curve slope of a thin aerofoil ¶
      • depends_on remark 31.69 The Kutta condition, and where the circulation comes from ¶
      • depends_on theorem A.737 The lift-curve slope of the flat plate ¶ ↺
  • depends_on theorem A.783 Riemann mapping with boundary correspondence, quoted ¶
    • depends_on corollary A.788 The two parameters are the same parameter ¶
      • depends_on theorem A.789 Kirchhoff's contraction coefficient ¶
• depends_on theorem 8.13 Goursat ¶