Formula:3095

Digital Library of Mathematical Functions ID 7.9.E3

${\displaystyle{\displaystyle w\left(z\right)=\frac{i}{\sqrt{\pi}}\cfrac{1}{z-\cfrac{\frac{1}{2}}{z-\cfrac{1}{z-\cfrac{\frac{3}{2}}{z-\cfrac{2}{z-\cdots}}}}},}}$

Constraint(s)

${\displaystyle{\displaystyle\Im z>0}}$

Symbols List

• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle w\left(\NVar{z}\right)}}$: Faddeeva (or Faddeyeva) function
• ${\displaystyle{\displaystyle\Im}}$: imaginary part
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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