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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.aaus.01









  


  








Input Form





Hypergeometric2F1[-(17/4), 17/4, 5, -z] == (1/(555179625 Pi z^4)) (4096 (1 + z)^(1/4) (2 (-2176 + 1904 z - 3893 z^2 + 16830 z^3 + 623755 z^4 + 1899128 z^5 + 2351888 z^6 + 1345344 z^7 + 295680 z^8) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - 8 Sqrt[1 + z] (-272 + 442 z - 850 z^2 + 2805 z^3 + 41855 z^4 + 86086 z^5 + 67144 z^6 + 18480 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - (-2176 + 1904 z - 3893 z^2 + 16830 z^3 + 623755 z^4 + 1899128 z^5 + 2351888 z^6 + 1345344 z^7 + 295680 z^8) 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