equation 8.13 eq:cpx-derivative-formula

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Supports

• depends_on lemma A.608 An entire function with a quadratic bound on its real part ¶
  • depends_on proposition A.609 The exponent is a quadratic polynomial ¶
    • depends_on proposition A.611 The constraint on $\Gamma$ ¶
      • depends_on proposition A.612 The dictionary between $A$ and $\Gamma$ ¶
• depends_on theorem 8.20 Taylor expansion ¶
  • depends_on lemma A.608 An entire function with a quadratic bound on its real part ¶ ↺
  • depends_on proposition 8.23 Residue at a simple pole ¶
  • depends_on theorem A.598 Hudson ¶
  • depends_on theorem 8.21 Laurent expansion ¶
    • depends_on definition 8.22 Isolated singularities; residue ¶
      • depends_on proposition 8.23 Residue at a simple pole ¶ ↺
      • depends_on proposition 17.96 Poles give asymptotics ¶
      • depends_on theorem 8.24 Residue theorem ¶
        • depends_on corollary 17.71 Residue evaluation and causality ¶
        • depends_on example 8.25 A real integral by residues ¶
        • depends_on proposition 17.96 Poles give asymptotics ¶ ↺
        • depends_on proposition 17.61 Mean-square response of a damped resonator ¶
        • depends_on theorem 31.68 Kutta–Joukowski ¶
        • depends_on theorem 9.26 Structure of the solutions ¶
    • depends_on theorem 8.24 Residue theorem ¶ ↺