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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/07.23.03.0107.01









  


  








Input Form





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