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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=-15/4, b>=a > For fixed z and a=-15/4, b=5/4





http://functions.wolfram.com/07.23.03.abf0.01









  


  










Input Form





Hypergeometric2F1[-(15/4), 5/4, 4, -z] == (256 Sqrt[2] (Sqrt[1 + z] (1760 + 9405 z + 17325 z^2 + 32947 z^3 + 27747 z^4 + 11808 z^5 + 2048 z^6) EllipticE[(-1 + Sqrt[1 + z])/ (1 + Sqrt[1 + z])] + (1760 + 11165 z + 26730 z^2 + 50272 z^3 + 60694 z^4 + 39555 z^5 + 13856 z^6 + 2048 z^7) EllipticE[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - (1760 + 10725 z + 24255 z^2 + 9847 z^3 + 7701 z^4 + 3096 z^5 + 512 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])] - Sqrt[1 + z] (1760 + 9405 z + 17325 z^2 + 32947 z^3 + 27747 z^4 + 11808 z^5 + 2048 z^6) EllipticK[(-1 + Sqrt[1 + z])/(1 + Sqrt[1 + z])]))/ (4542615 Pi z^3 Sqrt[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