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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > Specialized values > For fixed a, b, z





http://functions.wolfram.com/07.23.03.0098.01









  


  








Input Form





Hypergeometric2F1[a, b, (a + b)/2, z] == ((-(z/2)) Gamma[(a + b)/2] (LegendreP[(a - b)/2, 1 - (a + b)/2, 3, 1 - 2 z] + LegendreP[(a - b)/2 - 1, 1 - (a + b)/2, 3, 1 - 2 z]))/ (z^2 - z)^((a + b + 2)/4) /; Re[z] <= 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