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Formula:10112

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Digital Library of Mathematical Functions ID 32.10.E20

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


Constraint(s)

m = 1 , 2 , 3 , … 𝑚 1 2 3 … {\displaystyle{\displaystyle m=1,2,3,\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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