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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=17/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, 2, z] == (1/(69615 Pi z)) (8 Sqrt[1 + Sqrt[z]] ((-255 + 44939 z - 341656 z^2 + 843920 z^3 - 842688 z^4 + 295680 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (255 - 255 Sqrt[z] - 27344 z + 27344 z^(3/2) + 165088 z^2 - 165088 z^(5/2) - 285824 z^3 + 285824 z^(7/2) + 147840 z^4 - 147840 z^(9/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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