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Formula:8850

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Digital Library of Mathematical Functions ID 28.2.E14

w ⁢ ( z + π ) = e π ⁢ i ⁢ ν ⁢ w ⁢ ( z ) , 𝑤 𝑧 𝜋 superscript 𝑒 𝜋 imaginary-unit 𝜈 𝑤 𝑧 {\displaystyle{\displaystyle w(z+\pi)=e^{\pi\mathrm{i}\nu}w(z),}}


Constraint(s)

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
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  • w ⁢ ( z ) 𝑤 𝑧 {\displaystyle{\displaystyle w(z)}} : Mathieu’s equation solution
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This page was last edited on 28 January 2024, at 10:30.
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