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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=-1/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), -(1/4), 6, z] == (1/(86274913725 Pi z^5)) (16384 (-2 (-2048 + 24736 z - 143795 z^2 + 562099 z^3 - 1973582 z^4 - 19870778 z^5 - 1269919 z^6 + 233975 z^7 - 35056 z^8 + 2688 z^9) EllipticE[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (2048 - 24224 z + 137979 z^2 - 530293 z^3 + 1855510 z^4 + 9749838 z^5 + 52591 z^6 - 8281 z^7 + 672 z^8) EllipticK[(1/2) (1 - Sqrt[1 - z])] + (-2048 + 24736 z - 143795 z^2 + 562099 z^3 - 1973582 z^4 - 19870778 z^5 - 1269919 z^6 + 233975 z^7 - 35056 z^8 + 2688 z^9) 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