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Formula:10111

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Digital Library of Mathematical Functions ID 32.10.E19

ϕ ⁢ ( z ) = ( C 1 ⁢ U ⁡ ( a , 2 ⁢ z ) + C 2 ⁢ V ⁡ ( a , 2 ⁢ z ) ) ⁢ exp ⁡ ( 1 2 ⁢ ε ⁢ z 2 ) , italic-ϕ 𝑧 subscript 𝐶 1 parabolic-U 𝑎 2 𝑧 subscript 𝐶 2 parabolic-V 𝑎 2 𝑧 1 2 𝜀 superscript 𝑧 2 {\displaystyle{\displaystyle\phi(z)=\left(C_{1}U\left(a,\sqrt{2}z\right)+C_{2}% V\left(a,\sqrt{2}z\right)\right)\exp\left(\tfrac{1}{2}\varepsilon z^{2}\right)% ,}}


Constraint(s)

Symbols List

  • exp ⁡ z 𝑧 {\displaystyle{\displaystyle\exp\NVar{z}}} : exponential function
  • U ⁡ ( a , z ) parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{z}\right)}} :
  • V ⁡ ( a , z ) parabolic-V 𝑎 𝑧 {\displaystyle{\displaystyle V\left(\NVar{a},\NVar{z}\right)}} :
  • z 𝑧 {\displaystyle{\displaystyle z}} : real
  • ε = ± 1 𝜀 plus-or-minus 1 {\displaystyle{\displaystyle\varepsilon=\pm 1}} : = ε ± 1
  • ϕ ⁢ ( z ) italic-ϕ 𝑧 {\displaystyle{\displaystyle\phi(z)}} : function
  • a 𝑎 {\displaystyle{\displaystyle a}} : a
  • C 𝐶 {\displaystyle{\displaystyle C}} : constant
  •  Edit this on Wikidata

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