Formula:3161

Digital Library of Mathematical Functions ID 7.18.E13

${\displaystyle{\displaystyle\frac{\mathop{\mathrm{i}^{n}\mathrm{erfc}}\left(z\right)}{\mathop{\mathrm{i}^{n-1}\mathrm{erfc}}\left(z\right)}=\cfrac{1/2}{z+\cfrac{(n+1)/2}{z+\cfrac{(n+2)/2}{z+}}}\cdots,}}$

Constraint(s)

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

Symbols List

• ${\displaystyle{\displaystyle\Re}}$: real part
• ${\displaystyle{\displaystyle\mathop{\mathrm{i}^{\NVar{n}}\mathrm{erfc}}\left(\NVar{z}\right)}}$: repeated integrals of the complementary error function
• ${\displaystyle{\displaystyle z}}$: complex variable
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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