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Formula:727

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Digital Library of Mathematical Functions ID 2.4.E4

Q ⁢ ( z ) ∼ ∑ s = 0 ∞ Γ ⁡ ( s + λ μ ) ⁢ a s z ( s + λ ) / μ , asymptotic-expansion 𝑄 𝑧 superscript subscript 𝑠 0 Euler-Gamma 𝑠 𝜆 𝜇 subscript 𝑎 𝑠 superscript 𝑧 𝑠 𝜆 𝜇 {\displaystyle{\displaystyle Q(z)\sim\sum_{s=0}^{\infty}\Gamma\left(\frac{s+% \lambda}{\mu}\right)\frac{a_{s}}{z^{(s+\lambda)/\mu}},}}


Constraint(s)

z → ∞ → 𝑧 {\displaystyle{\displaystyle z\to\infty}}

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}} :
  • λ 𝜆 {\displaystyle{\displaystyle\lambda}} : constant
  • a 𝑎 {\displaystyle{\displaystyle a}} : left endpoint
  • μ 𝜇 {\displaystyle{\displaystyle\mu}} : positive constant
  • Q ⁢ ( z ) 𝑄 𝑧 {\displaystyle{\displaystyle Q(z)}} : Laplace transform of q ( t )
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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