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Formula:3285

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Digital Library of Mathematical Functions ID 8.11.E14

e n ⁢ x = e n ⁢ ( n ⁢ x ) + ( n ⁢ x ) n n ! ⁢ S n ⁢ ( x ) , superscript 𝑒 𝑛 𝑥 subscript 𝑒 𝑛 𝑛 𝑥 superscript 𝑛 𝑥 𝑛 𝑛 subscript 𝑆 𝑛 𝑥 {\displaystyle{\displaystyle e^{nx}=e_{n}(nx)+\frac{(nx)^{n}}{n!}S_{n}(x),}}


Constraint(s)

Symbols List

  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • ! {\displaystyle{\displaystyle!}} :
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • e n ⁢ ( z ) subscript 𝑒 𝑛 𝑧 {\displaystyle{\displaystyle e_{n}(z)}} : functions (locally)
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