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DLMF:9.2.E12

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Formula:3462
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MaRDI QIDQ3462

  • Label: DLMF:9.2.E12


Digital Library of Mathematical Functions ID 9.2.E12

Ai ⁡ ( z ) + e - 2 ⁢ π ⁢ i / 3 ⁢ Ai ⁡ ( z ⁢ e - 2 ⁢ π ⁢ i / 3 ) + e 2 ⁢ π ⁢ i / 3 ⁢ Ai ⁡ ( z ⁢ e 2 ⁢ π ⁢ i / 3 ) = 0 , Airy-Ai 𝑧 superscript 𝑒 2 𝜋 𝑖 3 Airy-Ai 𝑧 superscript 𝑒 2 𝜋 𝑖 3 superscript 𝑒 2 𝜋 𝑖 3 Airy-Ai 𝑧 superscript 𝑒 2 𝜋 𝑖 3 0 {\displaystyle{\displaystyle\mathrm{Ai}\left(z\right)+e^{-2\pi i/3}\mathrm{Ai}% \left(ze^{-2\pi i/3}\right)+e^{2\pi i/3}\mathrm{Ai}\left(ze^{2\pi i/3}\right)=% 0,}}


Constraint(s)

Symbols List

  • Ai ⁡ ( z ) Airy-Ai 𝑧 {\displaystyle{\displaystyle\mathrm{Ai}\left(\NVar{z}\right)}} :
  • π {\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
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This page was last edited on 28 January 2024, at 10:30.
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