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Formula:992

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Digital Library of Mathematical Functions ID 2.10.E34

g ⁢ ( z ) = e - π ⁢ i / 4 ⁢ ( 2 ⁢ sin ⁡ α ) - 1 / 2 ⁢ ( e - i ⁢ α - z ) - 1 / 2 + e π ⁢ i / 4 ⁢ ( 2 ⁢ sin ⁡ α ) - 1 / 2 ⁢ ( e i ⁢ α - z ) - 1 / 2 . 𝑔 𝑧 superscript 𝑒 𝜋 𝑖 4 superscript 2 𝛼 1 2 superscript superscript 𝑒 𝑖 𝛼 𝑧 1 2 superscript 𝑒 𝜋 𝑖 4 superscript 2 𝛼 1 2 superscript superscript 𝑒 𝑖 𝛼 𝑧 1 2 {\displaystyle{\displaystyle g(z)=e^{-\pi i/4}(2\sin\alpha)^{-1/2}\left(e^{-i% \alpha}-z\right)^{-1/2}+e^{\pi i/4}(2\sin\alpha)^{-1/2}\left(e^{i\alpha}-z% \right)^{-1/2}.}}


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
  • sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}} : sine function
  • g ⁢ ( z ) 𝑔 𝑧 {\displaystyle{\displaystyle g(z)}} : comparison function
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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