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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/07.23.03.0102.01









  


  








Input Form





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