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Formula:9022

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Digital Library of Mathematical Functions ID 28.19.E1

f ⁢ ( z + π ) = e i ⁢ ν ⁢ π ⁢ f ⁢ ( z ) . 𝑓 𝑧 𝜋 superscript 𝑒 imaginary-unit 𝜈 𝜋 𝑓 𝑧 {\displaystyle{\displaystyle f(z+\pi)=e^{\mathrm{i}\nu\pi}f(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
  • f ⁢ ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}} : function (locally)
  •  Edit this on Wikidata

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