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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=-3/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), -(3/4), 4, z] == -((1/(3886257375 Pi z^3)) (256 Sqrt[1 + Sqrt[z]] ((-21216 + 284427 z - 2426580 z^2 - 40570070 z^3 - 17948700 z^4 + 2272347 z^5 - 338184 z^6 + 27720 z^7) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (21216 - 21216 Sqrt[z] - 268515 z + 268515 z^(3/2) + 2227680 z^2 - 2227680 z^(5/2) + 11848910 z^3 - 11848910 z^(7/2) + 993300 z^4 - 993300 z^(9/2) - 156387 z^5 + 156387 z^(11/2) + 13860 z^6 - 13860 z^(13/2)) 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