Formula:3060

Digital Library of Mathematical Functions ID 7.6.E3

${\displaystyle{\displaystyle w\left(z\right)=\sum_{n=0}^{\infty}\frac{(iz)^{n}}{\Gamma\left(\frac{1}{2}n+1\right)}.}}$

Symbols List

• ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$: gamma function
• ${\displaystyle{\displaystyle w\left(\NVar{z}\right)}}$: Faddeeva (or Faddeyeva) function
• ${\displaystyle{\displaystyle\mathrm{i}}}$: imaginary unit
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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