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Formula:7298

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Digital Library of Mathematical Functions ID 19.27.E10

R D ⁡ ( x , y , z ) = R D ⁡ ( 0 , y , z ) - 3 ⁢ x h ⁢ z ⁢ ( 1 + O ⁡ ( x h ) ) , Carlson-integral-RD 𝑥 𝑦 𝑧 Carlson-integral-RD 0 𝑦 𝑧 3 𝑥 ℎ 𝑧 1 Big-O 𝑥 ℎ {\displaystyle{\displaystyle R_{D}\left(x,y,z\right)=R_{D}\left(0,y,z\right)-% \frac{3\sqrt{x}}{hz}\left(1+O\left(\sqrt{\frac{x}{h}}\right)\right),}}


Constraint(s)

x / h → 0 → 𝑥 ℎ 0 {\displaystyle{\displaystyle x/h\to 0}}

Symbols List

  • O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • R D ⁡ ( x , y , z ) Carlson-integral-RD 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{D}\left(\NVar{x},\NVar{y},\NVar{z}\right)}} : elliptic integral symmetric in only two variables
  • h ℎ {\displaystyle{\displaystyle h}} : h
  •  Edit this on Wikidata

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This page was last edited on 28 January 2024, at 10:02.
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