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Formula:3354

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Digital Library of Mathematical Functions ID 8.17.E15

( b + a ⁢ x ′ ) ⁢ I x ⁡ ( a , b ) = a ⁢ x ′ ⁢ I x ⁡ ( a + 1 , b - 1 ) + b ⁢ I x ⁡ ( a , b + 1 ) , 𝑏 𝑎 superscript 𝑥 ′ IncI 𝑥 𝑎 𝑏 𝑎 superscript 𝑥 ′ IncI 𝑥 𝑎 1 𝑏 1 𝑏 IncI 𝑥 𝑎 𝑏 1 {\displaystyle{\displaystyle(b+ax^{\prime})I_{x}\left(a,b\right)=ax^{\prime}I_% {x}\left(a+1,b-1\right)+bI_{x}\left(a,b+1\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
  • x ′ superscript 𝑥 ′ {\displaystyle{\displaystyle x^{\prime}}} : x ′
  •  Edit this on Wikidata

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