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Formula:3353

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Digital Library of Mathematical Functions ID 8.17.E14

( a + b ⁢ x ) ⁢ I x ⁡ ( a , b ) = x ⁢ b ⁢ I x ⁡ ( a - 1 , b + 1 ) + a ⁢ I x ⁡ ( a + 1 , b ) , 𝑎 𝑏 𝑥 IncI 𝑥 𝑎 𝑏 𝑥 𝑏 IncI 𝑥 𝑎 1 𝑏 1 𝑎 IncI 𝑥 𝑎 1 𝑏 {\displaystyle{\displaystyle(a+bx)I_{x}\left(a,b\right)=xbI_{x}\left(a-1,b+1% \right)+aI_{x}\left(a+1,b\right),}}


Constraint(s)

Symbols List

  • I x ⁡ ( a , b ) IncI 𝑥 𝑎 𝑏 {\displaystyle{\displaystyle I_{\NVar{x}}\left(\NVar{a},\NVar{b}\right)}} : incomplete beta function
  • a 𝑎 {\displaystyle{\displaystyle a}} : parameter
  • b 𝑏 {\displaystyle{\displaystyle b}} : parameter
  • x 𝑥 {\displaystyle{\displaystyle x}} : variable
  •  Edit this on Wikidata

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