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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=-11/4, b>=a > For fixed z and a=-11/4, b=17/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 17/4, 1/2, z] == (1/(585 Pi^(3/2))) ((-((2 Sqrt[z] (-8601 + 64128 z - 120832 z^2 + 65536 z^3) EllipticE[(1/2) (1 - Sqrt[z])])/(-1 + z)) + (2 Sqrt[z] (-8601 + 64128 z - 120832 z^2 + 65536 z^3) EllipticE[(1/2) (1 + Sqrt[z])])/(-1 + z) + (1/(-1 + Sqrt[z])) ((-585 - 8016 Sqrt[z] + 18048 z + 46080 z^(3/2) - 71680 z^2 - 49152 z^(5/2) + 65536 z^3) EllipticK[(1/2) (1 - Sqrt[z])]) + (1/(1 + Sqrt[z])) ((585 - 8016 Sqrt[z] - 18048 z + 46080 z^(3/2) + 71680 z^2 - 49152 z^(5/2) - 65536 z^3) EllipticK[(1/2) (1 + Sqrt[z])])) Gamma[3/4]^2)








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