Formula:10146

Digital Library of Mathematical Functions ID 32.11.E19

${\displaystyle{\displaystyle w(x)=\sigma\sqrt{\tfrac{1}{2}x}+\sigma\rho(2x)^{-1/4}\cos\left(\psi(x)+\theta\right)+O\left(x^{-1}\right),}}$

Constraint(s)

${\displaystyle{\displaystyle x\to+\infty}}$

Symbols List

• ${\displaystyle{\displaystyle O\left(\NVar{x}\right)}}$: order not exceeding
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle x}}$: real
• ${\displaystyle{\displaystyle\sigma}}$: real constant
• ${\displaystyle{\displaystyle\rho}}$: real constant
• ${\displaystyle{\displaystyle\theta}}$: real constant
• ${\displaystyle{\displaystyle\psi(z)}}$: function
 

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