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variants of this functions
Hypergeometric2F1Regularized






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1Regularized[a,b,c,z] > Specific values > Specialized values > For fixed a, b, z





http://functions.wolfram.com/07.24.03.0105.01









  


  










Input Form





Hypergeometric2F1Regularized[a, b, 1/2, z] == ((2^(a - b - 1)/Pi) Gamma[a + 1/2] Gamma[1 - b] (LegendreP[a + b - 1, b - a, 2, Sqrt[z/(z - 1)]] + LegendreP[a + b - 1, b - a, 2, -Sqrt[z/(z - 1)]]))/ (1 - z)^((a + b)/2) /; !IntervalMemberQ[Interval[{1, Infinity}], z]










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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