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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Integral representations > On the real axis > Of the direct function





http://functions.wolfram.com/07.23.07.0001.01









  


  










Input Form





Hypergeometric2F1[a, b, c, z] == (Gamma[c]/(Gamma[b] Gamma[c - b])) Integrate[(t^(b - 1) (1 - t)^(c - b - 1))/(1 - t z)^a, {t, 0, 1}] /; Re[c] > Re[b] > 0 && Abs[Arg[1 - z]] < Pi










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





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