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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=-13/4, b>=a > For fixed z and a=-13/4, b=-5/2





http://functions.wolfram.com/07.23.03.ac7u.01









  


  








Input Form





Hypergeometric2F1[-(13/4), -(5/2), 1, z] == (1/(1170 Sqrt[2] Pi Sqrt[1 + Sqrt[1 - z]])) (2 (1 + Sqrt[1 - z]) (10084 + 56868 z + 33035 z^2 + 960 z^3) EllipticE[1/2 - (1 - z)^(1/4)/(1 + Sqrt[1 - z])] - (4 (2521 + 2521 (1 - z)^(1/4) + 2521 Sqrt[1 - z] + 1351 (1 - z)^(3/4)) + 4 (14217 + 14217 (1 - z)^(1/4) + 14217 Sqrt[1 - z] + 5240 (1 - z)^(3/4)) z + 5 (6607 + 6607 (1 - z)^(1/4) + 6607 Sqrt[1 - z] + 1457 (1 - z)^(3/4)) z^2 + 960 (1 + (1 - z)^(1/4) + Sqrt[1 - z]) z^3) EllipticK[1/2 - (1 - z)^(1/4)/(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