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Formula:3459

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Digital Library of Mathematical Functions ID 9.2.E9

𝒲 ⁑ { Ai ⁑ ( z ⁒ e - 2 ⁒ Ο€ ⁒ i / 3 ) , Ai ⁑ ( z ⁒ e 2 ⁒ Ο€ ⁒ i / 3 ) } = 1 2 ⁒ Ο€ ⁒ i . Wronskian Airy-Ai 𝑧 superscript 𝑒 2 πœ‹ 𝑖 3 Airy-Ai 𝑧 superscript 𝑒 2 πœ‹ 𝑖 3 1 2 πœ‹ 𝑖 {\displaystyle{\displaystyle\mathscr{W}\left\{\mathrm{Ai}\left(ze^{-2\pi i/3}% \right),\mathrm{Ai}\left(ze^{2\pi i/3}\right)\right\}=\frac{1}{2\pi i}.}}


Constraint(s)

Symbols List

  • Ai ⁑ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}} :
  • 𝒲 Wronskian {\displaystyle{\displaystyle\mathscr{W}}} : Wronskian
  • Ο€ {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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