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Formula:10307

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Digital Library of Mathematical Functions ID 33.14.E6

κ = { ( - ϵ ) - 1 / 2 , ϵ < 0 , r > 0 , - ( - ϵ ) - 1 / 2 , ϵ < 0 , r < 0 , ± i ⁢ ϵ - 1 / 2 , ϵ > 0 . 𝜅 cases superscript italic-ϵ 1 2 formulae-sequence italic-ϵ 0 𝑟 0 superscript italic-ϵ 1 2 formulae-sequence italic-ϵ 0 𝑟 0 plus-or-minus imaginary-unit superscript italic-ϵ 1 2 italic-ϵ 0 {\displaystyle{\displaystyle\kappa=\begin{cases}(-\epsilon)^{-1/2},&\epsilon<0% ,r>0,\\ -(-\epsilon)^{-1/2},&\epsilon<0,r<0,\\ \pm\mathrm{i}\epsilon^{-1/2},&\epsilon>0.\end{cases}}}


Constraint(s)

Symbols List

  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • r 𝑟 {\displaystyle{\displaystyle r}} : real variable
  • ϵ italic-ϵ {\displaystyle{\displaystyle\epsilon}} : real parameter
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This page was last edited on 3 March 2024, at 02:55.
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