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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.aauh.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, 3, z] == (1/(1044225 Pi Sqrt[1 + Sqrt[z]] z^2)) (64 ((-68 - 68 Sqrt[z] - 969 z - 969 z^(3/2) + 80085 z^2 + 80085 z^(5/2) - 407960 z^3 - 407960 z^(7/2) + 757680 z^4 + 757680 z^(9/2) - 606144 z^5 - 606144 z^(11/2) + 177408 z^6 + 177408 z^(13/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 4 (-17 - 238 z + 11925 z^2 - 56330 z^3 + 100100 z^4 - 77616 z^5 + 22176 z^6) 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