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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/07.23.03.0104.01









  


  








Input Form





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