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variants of this functions
Hypergeometric2F1




Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-9/4, b>=a > For fixed z and a=-9/4, b=-9/4





http://functions.wolfram.com/07.23.03.ae0y.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(9/4), 2, z] == (1/(7605 Pi z)) (8 (2 (45 + 4513 z + 8647 z^2 + 1579 z^3) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (45 (1 + Sqrt[1 - z]) + (4513 + 2623 Sqrt[1 - z]) z + (8647 + 4139 Sqrt[1 - z]) z^2 + (1579 + 585 Sqrt[1 - z]) z^3) EllipticK[(1/2) (1 - Sqrt[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)





2007-05-02