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Formula:3097

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Digital Library of Mathematical Functions ID 7.10.E2

w ′ ⁡ ( z ) = - 2 ⁢ z ⁢ w ⁡ ( z ) + ( 2 ⁢ i / π ) , diffop error-function-w 1 𝑧 2 𝑧 error-function-w 𝑧 2 𝑖 𝜋 {\displaystyle{\displaystyle w'\left(z\right)=-2zw\left(z\right)+(2i/\sqrt{\pi% }),}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • w ⁡ ( z ) error-function-w 𝑧 {\displaystyle{\displaystyle w\left(\NVar{z}\right)}} : Faddeeva (or Faddeyeva) function
  • i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}} : imaginary unit
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 3 March 2024, at 01:49.
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