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Formula:3630

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Digital Library of Mathematical Functions ID 9.12.E4

Gi ⁡ ( z ) = Bi ⁡ ( z ) ⁢ ∫ z ∞ Ai ⁡ ( t ) ⁢ d t + Ai ⁡ ( z ) ⁢ ∫ 0 z Bi ⁡ ( t ) ⁢ d t , Scorer-Gi 𝑧 Airy-Bi 𝑧 superscript subscript 𝑧 Airy-Ai 𝑡 𝑡 Airy-Ai 𝑧 superscript subscript 0 𝑧 Airy-Bi 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{Gi}\left(z\right)=\mathrm{Bi}\left(z\right% )\int_{z}^{\infty}\mathrm{Ai}\left(t\right)\mathrm{d}t+\mathrm{Ai}\left(z% \right)\int_{0}^{z}\mathrm{Bi}\left(t\right)\mathrm{d}t,}}


Constraint(s)

Symbols List

  • Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}} :
  • Bi ⁡ ( z ) Airy-Bi 𝑧 {\displaystyle{\displaystyle\mathrm{Bi}\left(\NVar{z}\right)}} :
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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