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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=9/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 9/4, 2, z] == (1/(69615 Pi z)) (8 Sqrt[1 + Sqrt[z]] ((-663 + 41590 z - 167559 z^2 + 256536 z^3 - 174384 z^4 + 44352 z^5) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (663 - 663 Sqrt[z] - 23689 z + 23689 z^(3/2) + 67746 z^2 - 67746 z^(5/2) - 66864 z^3 + 66864 z^(7/2) + 22176 z^4 - 22176 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