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Formula:3634

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Digital Library of Mathematical Functions ID 9.12.E8

- Gi ⁡ ( z ) , Ai ⁡ ( z ) , Bi ⁡ ( z ) , Scorer-Gi 𝑧 Airy-Ai 𝑧 Airy-Bi 𝑧 {\displaystyle{\displaystyle-\mathrm{Gi}\left(z\right),\mathrm{Ai}\left(z% \right),\mathrm{Bi}\left(z\right),}}


Constraint(s)

| ph ⁡ z | ≤ 1 3 ⁢ π phase 𝑧 1 3 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{1}{3}\pi}}

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)}} :
  • Gi ⁡ ( z ) Scorer-Gi 𝑧 {\displaystyle{\displaystyle\mathrm{Gi}\left(\NVar{z}\right)}} : Scorer function (inhomogeneous Airy function)
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • ph phase {\displaystyle{\displaystyle\operatorname{ph}}} : phase
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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