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Formula:683

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Digital Library of Mathematical Functions ID 2.2.E6

t = y 1 2 ⁢ ( 1 + 1 4 ⁢ y - 1 ⁢ ln ⁡ y + o ⁡ ( y - 1 ) ) , 𝑡 superscript 𝑦 1 2 1 1 4 superscript 𝑦 1 𝑦 little-o superscript 𝑦 1 {\displaystyle{\displaystyle t=y^{\frac{1}{2}}\left(1+\tfrac{1}{4}y^{-1}\ln y+% o\left(y^{-1}\right)\right),}}


Constraint(s)

y → ∞ → 𝑦 {\displaystyle{\displaystyle y\to\infty}}

Symbols List

  • o ⁡ ( x ) little-o 𝑥 {\displaystyle{\displaystyle o\left(\NVar{x}\right)}} : order less than
  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
  • y 𝑦 {\displaystyle{\displaystyle y}} : root
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This page was last edited on 28 January 2024, at 10:30.
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