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Formula:10113

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Digital Library of Mathematical Functions ID 32.10.E21

w ⁢ ( z ; - m , - 2 ⁢ ( m + 1 ) 2 ) = - 2 ⁢ z + H m ′ ⁡ ( z ) H m ⁡ ( z ) , 𝑤 𝑧 𝑚 2 superscript 𝑚 1 2 2 𝑧 diffop Hermite-polynomial-H 𝑚 1 𝑧 Hermite-polynomial-H 𝑚 𝑧 {\displaystyle{\displaystyle w(z;-m,-2(m+1)^{2})=-2z+\frac{H_{m}'\left(z\right% )}{H_{m}\left(z\right)},}}


Constraint(s)

m = 0 , 1 , 2 , … 𝑚 0 1 2 … {\displaystyle{\displaystyle m=0,1,2,\dots}}

Symbols List

  • H n ⁡ ( x ) Hermite-polynomial-H 𝑛 𝑥 {\displaystyle{\displaystyle H_{\NVar{n}}\left(\NVar{x}\right)}} : Hermite polynomial
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : real
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:30.
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