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Formula:3058

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Digital Library of Mathematical Functions ID 7.6.E1

erf ⁡ z = 2 π ⁢ ∑ n = 0 ∞ ( - 1 ) n ⁢ z 2 ⁢ n + 1 n ! ⁢ ( 2 ⁢ n + 1 ) , error-function 𝑧 2 𝜋 superscript subscript 𝑛 0 superscript 1 𝑛 superscript 𝑧 2 𝑛 1 𝑛 2 𝑛 1 {\displaystyle{\displaystyle\operatorname{erf}z=\frac{2}{\sqrt{\pi}}\sum_{n=0}% ^{\infty}\frac{(-1)^{n}z^{2n+1}}{n!(2n+1)},}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • erf ⁡ z error-function 𝑧 {\displaystyle{\displaystyle\operatorname{erf}\NVar{z}}} : error function
  • ! {\displaystyle{\displaystyle!}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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