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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/07.23.03.0088.01









  


  








Input Form





Hypergeometric2F1[a, b, a + b + 1/2, z] == 2^(a + b - 1/2) Gamma[a + b + 1/2] (-z)^((1 - 2 a - 2 b)/4) LegendreP[b - a - 1/2, 1/2 - a - b, 3, Sqrt[1 - z]] /; !IntervalMemberQ[Interval[{0, 1}], 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