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Formula:6277

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Digital Library of Mathematical Functions ID 18.7.E12

H n ⁑ ( x ) = 2 1 2 ⁒ n ⁒ 𝐻𝑒 n ⁑ ( 2 1 2 ⁒ x ) . Hermite-polynomial-H 𝑛 π‘₯ superscript 2 1 2 𝑛 Hermite-polynomial-He 𝑛 superscript 2 1 2 π‘₯ {\displaystyle{\displaystyle H_{n}\left(x\right)=2^{\frac{1}{2}n}\mathit{He}_{% n}\left(2^{\frac{1}{2}}x\right).}}


Constraint(s)

Symbols List

  • H n ⁑ ( x ) Hermite-polynomial-H 𝑛 π‘₯ {\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}} : Hermite polynomial
  • 𝐻𝑒 n ⁑ ( x ) Hermite-polynomial-He 𝑛 π‘₯ {\displaystyle{\displaystyle\mathit{He}_{\NVar{n}}\left(\NVar{x}\right)}} : Hermite polynomial
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • x π‘₯ {\displaystyle{\displaystyle x}} : real variable
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This page was last edited on 28 January 2024, at 10:30.
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