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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.aabx.01









  


  








Input Form





Hypergeometric2F1[-(17/4), -(9/4), 4, z] == (1/(70659225 Pi z^3)) (256 (-2 (-96 + 1821 z - 24153 z^2 - 1270930 z^3 - 2426290 z^4 - 767191 z^5 - 7749 z^6 + 252 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (96 - 1797 z + 23715 z^2 + 724630 z^3 + 1186910 z^4 + 313551 z^5 + 63 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-96 + 1821 z - 24153 z^2 - 1270930 z^3 - 2426290 z^4 - 767191 z^5 - 7749 z^6 + 252 z^7) 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