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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving algebraic functions





http://functions.wolfram.com/07.23.21.0007.01









  


  










Input Form





Integrate[(1 - z)^(\[Alpha] - 1) Hypergeometric2F1[a, b, c, z], z] == -((Gamma[c] MeijerG[{{1, 1 - a + \[Alpha], 1 - b + \[Alpha]}, {}}, {{\[Alpha], -a - b + c + \[Alpha]}, {0}}, 1 - z])/ (Gamma[a] Gamma[b] Gamma[-a + c] Gamma[-b + c]))










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