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Formula:7291

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Digital Library of Mathematical Functions ID 19.27.E3

R F ⁑ ( x , y , z ) = R F ⁑ ( 0 , y , z ) - 1 h ⁒ ( x h + O ⁑ ( x h ) ) , Carlson-integral-RF π‘₯ 𝑦 𝑧 Carlson-integral-RF 0 𝑦 𝑧 1 β„Ž π‘₯ β„Ž Big-O π‘₯ β„Ž {\displaystyle{\displaystyle R_{F}\left(x,y,z\right)=R_{F}\left(0,y,z\right)-% \frac{1}{\sqrt{h}}\left(\sqrt{\frac{x}{h}}+O\left(\frac{x}{h}\right)\right),}}


Constraint(s)

x / h β†’ 0 β†’ π‘₯ β„Ž 0 {\displaystyle{\displaystyle x/h\to 0}}

Symbols List

  • O ⁑ ( x ) Big-O π‘₯ {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • R F ⁑ ( x , y , z ) Carlson-integral-RF π‘₯ 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}} : symmetric elliptic integral of first kind
  • h β„Ž {\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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