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Formula:3160

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Digital Library of Mathematical Functions ID 7.18.E12

i n ⁢ erfc ⁡ ( z ) = 1 2 n - 1 ⁢ π ⁢ 𝐻ℎ n ⁡ ( 2 ⁢ z ) . repeated-integral-complementary-error-function 𝑛 𝑧 1 superscript 2 𝑛 1 𝜋 Fishers-Hh 𝑛 2 𝑧 {\displaystyle{\displaystyle\mathop{\mathrm{i}^{n}\mathrm{erfc}}\left(z\right)% =\frac{1}{\sqrt{2^{n-1}\pi}}\mathit{Hh}_{n}\left(\sqrt{2}z\right).}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • i n ⁢ erfc ⁡ ( z ) repeated-integral-complementary-error-function 𝑛 𝑧 {\displaystyle{\displaystyle\mathop{\mathrm{i}^{\NVar{n}}\mathrm{erfc}}\left(% \NVar{z}\right)}} : repeated integrals of the complementary error function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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