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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=13/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 13/4, 6, -z] == (1/(86274913725 Pi z^5)) (16384 (1 + z)^(1/4) (2 (452608 + 1746784 z + 1591863 z^2 - 768859 z^3 + 1310309 z^4 + 22712151 z^5 + 43913408 z^6 + 37807616 z^7 + 15937152 z^8 + 2690688 z^9) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (452608 + 1407328 z + 589407 z^2 - 1065883 z^3 + 2127125 z^4 + 10459911 z^5 + 12776456 z^6 + 6735344 z^7 + 1345344 z^8) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (452608 + 1746784 z + 1591863 z^2 - 768859 z^3 + 1310309 z^4 + 22712151 z^5 + 43913408 z^6 + 37807616 z^7 + 15937152 z^8 + 2690688 z^9) EllipticK[1/2 - 1/(2 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