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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/07.23.03.0089.01









  


  








Input Form





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








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