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variants of this functions
Hypergeometric2F1Regularized




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Integration > Definite integration > For the direct function itself





http://functions.wolfram.com/07.24.21.0003.01









  


  








Input Form





Integrate[t^(\[Alpha] - 1) Hypergeometric2F1Regularized[a, b, c, -t], {t, 0, Infinity}] == Gamma[\[Alpha]] Gamma[-\[Alpha] + a] (Gamma[-\[Alpha] + b]/(Gamma[a] Gamma[b] Gamma[-\[Alpha] + c])) /; 0 < Re[\[Alpha]] < Min[Re[a], Re[b]]








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