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Formula:3679

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Digital Library of Mathematical Functions ID 9.13.E18

w = U m ⁢ ( t ⁢ e - 2 ⁢ j ⁢ π ⁢ i / m ) , 𝑤 subscript 𝑈 𝑚 𝑡 superscript 𝑒 2 𝑗 𝜋 𝑖 𝑚 {\displaystyle{\displaystyle w=U_{m}(te^{-2j\pi i/m}),}}


Constraint(s)

j = 0 , ± 1 , ± 2 , … . 𝑗 0 plus-or-minus 1 plus-or-minus 2 … {\displaystyle{\displaystyle j=0,\pm 1,\pm 2,\ldots.}}

Symbols List

  • 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
  • U i subscript 𝑈 𝑖 {\displaystyle{\displaystyle U_{i}}} : Smirnov’s generalized Airy function
  • w 𝑤 {\displaystyle{\displaystyle w}} : function (locally)
  • m 𝑚 {\displaystyle{\displaystyle m}} : index
  • j 𝑗 {\displaystyle{\displaystyle j}} : index
  •  Edit this on Wikidata

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This page was last edited on 3 March 2024, at 01:53.
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