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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=21/4





http://functions.wolfram.com/07.23.03.aay4.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 21/4, 5, z] == (1/(555179625 Pi Sqrt[1 + Sqrt[z]] z^4)) (4096 (2 (-64 - 64 Sqrt[z] - 232 z - 232 z^(3/2) - 945 z^2 - 945 z^(5/2) - 6270 z^3 - 6270 z^(7/2) + 320375 z^4 + 320375 z^(9/2) - 1208592 z^5 - 1208592 z^(11/2) + 1782704 z^6 + 1782704 z^(13/2) - 1182720 z^7 - 1182720 z^(15/2) + 295680 z^8 + 295680 z^(17/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (-128 - 432 z - 1765 z^2 - 12030 z^3 + 372955 z^4 - 1315864 z^5 + 1868944 z^6 - 1207360 z^7 + 295680 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