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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=7/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 7/4, 5, z] == (1/(1665538875 Pi z^4)) (4096 (8 (7072 - 43316 z + 96577 z^2 - 46410 z^3 + 254700 z^4 - 318858 z^5 + 207259 z^6 - 71168 z^7 + 10240 z^8) EllipticE[(1/2) (1 - Sqrt[1 - z])] + Sqrt[1 - z] (-28288 + 166192 z - 348075 z^2 + 116025 z^3 - 206625 z^4 + 162147 z^5 - 63808 z^6 + 10240 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] - 4 (7072 - 43316 z + 96577 z^2 - 46410 z^3 + 254700 z^4 - 318858 z^5 + 207259 z^6 - 71168 z^7 + 10240 z^8) 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