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variants of this functions
Beta




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > Beta[a,b] > Integration > Indefinite integration > Involving one direct function and elementary functions with respect to b > Involving power function





http://functions.wolfram.com/06.18.21.0006.01









  


  








Input Form





Integrate[b^(\[Alpha] - 1) Beta[a, b], b] == b^(\[Alpha] - 1)/(\[Alpha] - 1) - (((a - 1) b^\[Alpha])/\[Alpha]) Sum[(Pochhammer[2 - a, k]/((k + 1) (k + 1)!)) Hypergeometric2F1[\[Alpha], 1, \[Alpha] + 1, -(b/(k + 1))], {k, 0, Infinity}] /; Re[a] > 0








Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2001-10-29