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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.aaur.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 17/4, 5, z] == (1/(555179625 Pi Sqrt[1 + Sqrt[z]] z^4)) (4096 ((-2176 - 2176 Sqrt[z] - 1904 z - 1904 z^(3/2) - 3893 z^2 - 3893 z^(5/2) - 16830 z^3 - 16830 z^(7/2) + 623755 z^4 + 623755 z^(9/2) - 1899128 z^5 - 1899128 z^(11/2) + 2351888 z^6 + 2351888 z^(13/2) - 1345344 z^7 - 1345344 z^(15/2) + 295680 z^8 + 295680 z^(17/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - 8 (-272 - 170 z - 408 z^2 - 1955 z^3 + 44660 z^4 - 127941 z^5 + 153230 z^6 - 85624 z^7 + 18480 z^8) 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