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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=-17/4, b>=a > For fixed z and a=-17/4, b=15/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 15/4, 1, z] == (1/(765765 Pi)) (2 (4 (771109 - 9274016 z + 29374720 z^2 - 34652160 z^3 + 13762560 z^4) EllipticE[(1/2) (1 - Sqrt[1 - z])] + (-1542218 - 776453 Sqrt[1 - z] + 64 (289813 + 98330 Sqrt[1 - z]) z - 2560 (22949 + 4836 Sqrt[1 - z]) z^2 + 491520 (141 + 14 Sqrt[1 - z]) z^3 - 27525120 z^4) 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