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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=-21/4, b>=a > For fixed z and a=-21/4, b=11/4





http://functions.wolfram.com/07.23.03.a8os.01









  


  








Input Form





Hypergeometric2F1[-(21/4), 11/4, 1, z] == (1/(69615 Pi)) (2 (-8 (-34297 + 379895 z - 1273168 z^2 + 1869440 z^3 - 1269760 z^4 + 327680 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (67573 - 510673 z + 1150080 z^2 - 1034240 z^3 + 327680 z^4) EllipticK[(1/2) (1 - Sqrt[1 - z])] + 4 (-34297 + 379895 z - 1273168 z^2 + 1869440 z^3 - 1269760 z^4 + 327680 z^5) 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